detailed information: The input equation set is:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | A | + | | 6 | B | + | | 2 | C | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | H | + | | 2 | J | + | | 2 | K | = | | 115 | | (2) |
| | 2 | A | + | | 6 | B | + | | 2 | C | + | | D | + | | 2 | E | + | | 2 | F | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 159 | | (3) |
| | A | + | | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | J | + | | K | = | | 50 | | (4) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | F | + | | 2 | G | + | | 4 | I | + | | 2 | J | + | | 2 | K | = | | 102 | | (5) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | E | + | | 2 | I | + | | 2 | J | + | | 2 | K | = | | 78 | | (6) |
| | | | 2 | A | + | | 2 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 128 | | (9) |
| | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | K | = | | 53 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
| Question solving process:
Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | 2 | A | + | | 6 | B | + | | 2 | C | + | | D | + | | 2 | E | + | | 2 | F | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 159 | | (3) |
| | A | + | | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | J | + | | K | = | | 50 | | (4) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | F | + | | 2 | G | + | | 4 | I | + | | 2 | J | + | | 2 | K | = | | 102 | | (5) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | E | + | | 2 | I | + | | 2 | J | + | | 2 | K | = | | 78 | | (6) |
| | | | 2 | A | + | | 2 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 128 | | (9) |
| | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | K | = | | 53 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
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Multiply both sides of equation (1) by 2, the equation can be obtained: | | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 160 | (12) | , then subtract both sides of equation (12) from both sides of equation (3), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | A | + | | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | J | + | | K | = | | 50 | | (4) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | F | + | | 2 | G | + | | 4 | I | + | | 2 | J | + | | 2 | K | = | | 102 | | (5) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | E | + | | 2 | I | + | | 2 | J | + | | 2 | K | = | | 78 | | (6) |
| | | | 2 | A | + | | 2 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 128 | | (9) |
| | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | K | = | | 53 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
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Subtract both sides of equation (1) from both sides of equation (4) ,the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | F | + | | 2 | G | + | | 4 | I | + | | 2 | J | + | | 2 | K | = | | 102 | | (5) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | E | + | | 2 | I | + | | 2 | J | + | | 2 | K | = | | 78 | | (6) |
| | | | 2 | A | + | | 2 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 128 | | (9) |
| | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | K | = | | 53 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
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Multiply both sides of equation (1) by 2, the equation can be obtained: | | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 160 | (13) | , then subtract both sides of equation (13) from both sides of equation (5), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | -4 | B | + | | 2 | C | | -2 | E | | -2 | H | | -2 | I | = | | -58 | | (5) |
| | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | E | + | | 2 | I | + | | 2 | J | + | | 2 | K | = | | 78 | | (6) |
| | | | 2 | A | + | | 2 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 128 | | (9) |
| | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | K | = | | 53 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
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Multiply both sides of equation (1) by 2, the equation can be obtained: | | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 160 | (14) | , then subtract both sides of equation (14) from both sides of equation (6), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | -4 | B | + | | 2 | C | | -2 | E | | -2 | H | | -2 | I | = | | -58 | | (5) |
| -4 | B | + | | 2 | C | | -2 | F | | -2 | G | | -2 | H | | -4 | I | = | | -82 | | (6) |
| | | | 2 | A | + | | 2 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 128 | | (9) |
| | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | K | = | | 53 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
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Multiply both sides of equation (1) by 2, the equation can be obtained: | | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 160 | (15) | , then subtract both sides of equation (15) from both sides of equation (9), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | -4 | B | + | | 2 | C | | -2 | E | | -2 | H | | -2 | I | = | | -58 | | (5) |
| -4 | B | + | | 2 | C | | -2 | F | | -2 | G | | -2 | H | | -4 | I | = | | -82 | | (6) |
| | | | | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | K | = | | 53 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
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Subtract both sides of equation (1) from both sides of equation (10) ,the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | -4 | B | + | | 2 | C | | -2 | E | | -2 | H | | -2 | I | = | | -58 | | (5) |
| -4 | B | + | | 2 | C | | -2 | F | | -2 | G | | -2 | H | | -4 | I | = | | -82 | | (6) |
| | | | -2 | B | + | | C | | -2 | I | | -1 | J | = | | -27 | | (10) |
| | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | K | = | | 152 | | (11) |
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Multiply both sides of equation (1) by 2, the equation can be obtained: | | 2 | A | + | | 6 | B | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 6 | I | + | | 2 | J | + | | 2 | K | = | | 160 | (16) | , then subtract both sides of equation (16) from both sides of equation (11), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | -4 | B | + | | 2 | C | | -2 | E | | -2 | H | | -2 | I | = | | -58 | | (5) |
| -4 | B | + | | 2 | C | | -2 | F | | -2 | G | | -2 | H | | -4 | I | = | | -82 | | (6) |
| | | | -2 | B | + | | C | | -2 | I | | -1 | J | = | | -27 | | (10) |
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Multiply both sides of equation (2) by 2 Divide the two sides of equation (2) by 3, the equation can be obtained: | | 2 | B | + | | | 4 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -2 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | | 70 3 | (17) | , then add the two sides of equation (17) to both sides of equation (4), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | - | 20 3 | | (4) |
| -4 | B | + | | 2 | C | | -2 | E | | -2 | H | | -2 | I | = | | -58 | | (5) |
| -4 | B | + | | 2 | C | | -2 | F | | -2 | G | | -2 | H | | -4 | I | = | | -82 | | (6) |
| | | | -2 | B | + | | C | | -2 | I | | -1 | J | = | | -27 | | (10) |
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Multiply both sides of equation (2) by 4 Divide the two sides of equation (2) by 3, the equation can be obtained: | | 4 | B | + | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 140 3 | (18) | , then add the two sides of equation (18) to both sides of equation (5), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | - | 20 3 | | (4) |
| | | 14 3 | C | + | | | 4 3 | D | | - | 2 3 | E | + | | | 4 3 | F | | - | 4 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 34 3 | | (5) |
| -4 | B | + | | 2 | C | | -2 | F | | -2 | G | | -2 | H | | -4 | I | = | | -82 | | (6) |
| | | | -2 | B | + | | C | | -2 | I | | -1 | J | = | | -27 | | (10) |
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Multiply both sides of equation (2) by 4 Divide the two sides of equation (2) by 3, the equation can be obtained: | | 4 | B | + | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 140 3 | (19) | , then add the two sides of equation (19) to both sides of equation (6), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | - | 20 3 | | (4) |
| | | 14 3 | C | + | | | 4 3 | D | | - | 2 3 | E | + | | | 4 3 | F | | - | 4 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 34 3 | | (5) |
| | | 14 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | | - | 2 3 | F | | - | 10 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 106 3 | | (6) |
| | | | -2 | B | + | | C | | -2 | I | | -1 | J | = | | -27 | | (10) |
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Multiply both sides of equation (2) by 4 Divide the two sides of equation (2) by 3, the equation can be obtained: | | 4 | B | + | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 140 3 | (20) | , then add the two sides of equation (20) to both sides of equation (9), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | - | 20 3 | | (4) |
| | | 14 3 | C | + | | | 4 3 | D | | - | 2 3 | E | + | | | 4 3 | F | | - | 4 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 34 3 | | (5) |
| | | 14 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | | - | 2 3 | F | | - | 10 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 106 3 | | (6) |
| | | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 44 3 | | (9) |
| -2 | B | + | | C | | -2 | I | | -1 | J | = | | -27 | | (10) |
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Multiply both sides of equation (2) by 2 Divide the two sides of equation (2) by 3, the equation can be obtained: | | 2 | B | + | | | 4 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -2 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | | 70 3 | (21) | , then add the two sides of equation (21) to both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | - | 20 3 | | (4) |
| | | 14 3 | C | + | | | 4 3 | D | | - | 2 3 | E | + | | | 4 3 | F | | - | 4 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 34 3 | | (5) |
| | | 14 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | | - | 2 3 | F | | - | 10 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 106 3 | | (6) |
| | | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 44 3 | | (9) |
| | | 7 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 11 3 | | (10) |
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Multiply both sides of equation (3) by 2 Divide the two sides of equation (3) by 3, the equation can be obtained: | | | 4 3 | C | | - | 2 3 | D | | - | 4 3 | G | = | | - | 2 3 | (22) | , then subtract both sides of equation (22) from both sides of equation (4), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| | | 14 3 | C | + | | | 4 3 | D | | - | 2 3 | E | + | | | 4 3 | F | | - | 4 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 34 3 | | (5) |
| | | 14 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | | - | 2 3 | F | | - | 10 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 106 3 | | (6) |
| | | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 44 3 | | (9) |
| | | 7 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 11 3 | | (10) |
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Multiply both sides of equation (3) by 7 Divide the two sides of equation (3) by 3, the equation can be obtained: | | | 14 3 | C | | - | 7 3 | D | | - | 14 3 | G | = | | - | 7 3 | (23) | , then subtract both sides of equation (23) from both sides of equation (5), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| | | 11 3 | D | | - | 2 3 | E | + | | | 4 3 | F | + | | | 10 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -9 | | (5) |
| | | 14 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | | - | 2 3 | F | | - | 10 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | - | 106 3 | | (6) |
| | | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 44 3 | | (9) |
| | | 7 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 11 3 | | (10) |
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Multiply both sides of equation (3) by 7 Divide the two sides of equation (3) by 3, the equation can be obtained: | | | 14 3 | C | | - | 7 3 | D | | - | 14 3 | G | = | | - | 7 3 | (24) | , then subtract both sides of equation (24) from both sides of equation (6), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| | | 11 3 | D | | - | 2 3 | E | + | | | 4 3 | F | + | | | 10 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -9 | | (5) |
| | | 11 3 | D | + | | | 4 3 | E | | - | 2 3 | F | + | | | 4 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -33 | | (6) |
| | | | | 8 3 | C | + | | | 4 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | | - | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | | 44 3 | | (9) |
| | | 7 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 11 3 | | (10) |
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Multiply both sides of equation (3) by 4 Divide the two sides of equation (3) by 3, the equation can be obtained: | | | 8 3 | C | | - | 4 3 | D | | - | 8 3 | G | = | | - | 4 3 | (25) | , then subtract both sides of equation (25) from both sides of equation (9), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| | | 11 3 | D | | - | 2 3 | E | + | | | 4 3 | F | + | | | 10 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -9 | | (5) |
| | | 11 3 | D | + | | | 4 3 | E | | - | 2 3 | F | + | | | 4 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -33 | | (6) |
| | | | | 8 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | + | | | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | 16 | | (9) |
| | | 7 3 | C | + | | | 2 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | | - | 2 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 11 3 | | (10) |
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Multiply both sides of equation (3) by 7 Divide the two sides of equation (3) by 6, the equation can be obtained: | | | 7 3 | C | | - | 7 6 | D | | - | 7 3 | G | = | | - | 7 6 | (26) | , then subtract both sides of equation (26) from both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| | | 11 3 | D | | - | 2 3 | E | + | | | 4 3 | F | + | | | 10 3 | G | | - | 2 3 | H | | -6 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -9 | | (5) |
| | | 11 3 | D | + | | | 4 3 | E | | - | 2 3 | F | + | | | 4 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -33 | | (6) |
| | | | | 8 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | + | | | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | 16 | | (9) |
| | | 11 6 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 5 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 5 2 | | (10) |
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Multiply both sides of equation (4) by 11 Divide the two sides of equation (4) by 4, the equation can be obtained: | | | 11 3 | D | + | | | 11 6 | E | + | | | 11 6 | F | + | | | 11 6 | G | + | | | 11 6 | H | | -11 | I | + | | | 11 6 | J | + | | | 11 6 | K | = | | - | 33 2 | (27) | , then subtract both sides of equation (27) from both sides of equation (5), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| | | 11 3 | D | + | | | 4 3 | E | | - | 2 3 | F | + | | | 4 3 | G | | - | 2 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -33 | | (6) |
| | | | | 8 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | + | | | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | 16 | | (9) |
| | | 11 6 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 5 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 5 2 | | (10) |
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Multiply both sides of equation (4) by 11 Divide the two sides of equation (4) by 4, the equation can be obtained: | | | 11 3 | D | + | | | 11 6 | E | + | | | 11 6 | F | + | | | 11 6 | G | + | | | 11 6 | H | | -11 | I | + | | | 11 6 | J | + | | | 11 6 | K | = | | - | 33 2 | (28) | , then subtract both sides of equation (28) from both sides of equation (6), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 1 2 | E | | - | 5 2 | F | | - | 1 2 | G | | - | 5 2 | H | + | | 3 | I | | - | 1 2 | J | | - | 1 2 | K | = | | - | 33 2 | | (6) |
| | | | | 8 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | + | | | 4 3 | G | + | | | 4 3 | H | | -4 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | 16 | | (9) |
| | | 11 6 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 5 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 5 2 | | (10) |
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Multiply both sides of equation (4) by 2, the equation can be obtained: | | | 8 3 | D | + | | | 4 3 | E | + | | | 4 3 | F | + | | | 4 3 | G | + | | | 4 3 | H | | -8 | I | + | | | 4 3 | J | + | | | 4 3 | K | = | | -12 | (29) | , then subtract both sides of equation (29) from both sides of equation (9), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 1 2 | E | | - | 5 2 | F | | - | 1 2 | G | | - | 5 2 | H | + | | 3 | I | | - | 1 2 | J | | - | 1 2 | K | = | | - | 33 2 | | (6) |
| | | | | | 11 6 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 5 3 | G | + | | | 2 3 | H | | -4 | I | | - | 1 3 | J | + | | | 2 3 | K | = | | - | 5 2 | | (10) |
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Multiply both sides of equation (4) by 11 Divide the two sides of equation (4) by 8, the equation can be obtained: | | | 11 6 | D | + | | | 11 12 | E | + | | | 11 12 | F | + | | | 11 12 | G | + | | | 11 12 | H | | - | 11 2 | I | + | | | 11 12 | J | + | | | 11 12 | K | = | | - | 33 4 | (30) | , then subtract both sides of equation (30) from both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 1 2 | E | | - | 5 2 | F | | - | 1 2 | G | | - | 5 2 | H | + | | 3 | I | | - | 1 2 | J | | - | 1 2 | K | = | | - | 33 2 | | (6) |
| | | | - | 1 4 | E | | - | 1 4 | F | + | | | 3 4 | G | | - | 1 4 | H | + | | | 3 2 | I | | - | 5 4 | J | | - | 1 4 | K | = | | | 23 4 | | (10) |
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Divide the two sides of equation (5) by 5, the equation can be obtained: | - | 1 2 | E | | - | 1 10 | F | + | | | 3 10 | G | | - | 1 2 | H | + | | I | | - | 1 10 | J | | - | 1 10 | K | = | | | 3 2 | (31) | , then subtract both sides of equation (31) from both sides of equation (6), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | | - | 2 5 | K | = | | -18 | | (6) |
| | | | - | 1 4 | E | | - | 1 4 | F | + | | | 3 4 | G | | - | 1 4 | H | + | | | 3 2 | I | | - | 5 4 | J | | - | 1 4 | K | = | | | 23 4 | | (10) |
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Divide the two sides of equation (5) by 10, the equation can be obtained: | - | 1 4 | E | | - | 1 20 | F | + | | | 3 20 | G | | - | 1 4 | H | + | | | 1 2 | I | | - | 1 20 | J | | - | 1 20 | K | = | | | 3 4 | (32) | , then subtract both sides of equation (32) from both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | | - | 2 5 | K | = | | -18 | | (6) |
| | | | - | 1 5 | F | + | | | 3 5 | G | + | | I | | - | 6 5 | J | | - | 1 5 | K | = | | 5 | | (10) |
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Divide the two sides of equation (6) by 12, the equation can be obtained: | - | 1 5 | F | | - | 1 15 | G | | - | 1 6 | H | + | | | 1 6 | I | | - | 1 30 | J | | - | 1 30 | K | = | | - | 3 2 | (33) | , then subtract both sides of equation (33) from both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | | - | 2 5 | K | = | | -18 | | (6) |
| | | | | | 2 3 | G | + | | | 1 6 | H | + | | | 5 6 | I | | - | 7 6 | J | | - | 1 6 | K | = | | | 13 2 | | (10) |
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Multiply both sides of equation (7) by 2 Divide the two sides of equation (7) by 3, the equation can be obtained: , then subtract both sides of equation (34) from both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | | - | 2 5 | K | = | | -18 | | (6) |
| | | | - | 1 2 | H | + | | | 5 6 | I | | - | 7 6 | J | | - | 1 6 | K | = | | - | 1 6 | | (10) |
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Divide the two sides of equation (8) by 2, the equation can be obtained: , then add the two sides of equation (35) to both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | | - | 2 5 | K | = | | -18 | | (6) |
| | | | | | 4 3 | I | | - | 7 6 | J | | - | 1 6 | K | = | | | 16 3 | | (10) |
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Divide the two sides of equation (9) by 3, the equation can be obtained: , then subtract both sides of equation (36) from both sides of equation (10), the equations are reduced to:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | | - | 2 5 | K | = | | -18 | | (6) |
| | | | | |
Divide both sides of equation (11) by 6, get the equation:, then subtract both sides of equation (37) from both sides of equation (10), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | | - | 2 5 | K | = | | -18 | | (6) |
| | | | | |
Multiply both sides of equation (11) by 2 Divide both sides of equation (11) by 5, get the equation:, then subtract both sides of equation (38) from both sides of equation (6), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | | - | 1 2 | K | = | | | 15 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | = | | - | 74 5 | | (6) |
| | | | | |
Divide both sides of equation (11) by 2, get the equation:, then subtract both sides of equation (39) from both sides of equation (5), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | + | | | 2 3 | K | = | | -6 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | = | | | 23 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | = | | - | 74 5 | | (6) |
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Multiply both sides of equation (11) by 2 Divide both sides of equation (11) by 3, get the equation:, then add the two sides of equation (40) to both sides of equation (4), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | + | | K | = | | 35 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | = | | - | 34 3 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | = | | | 23 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | = | | - | 74 5 | | (6) |
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Add both sides of equation (11) to both sides of equation (2), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | + | | K | = | | 80 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | = | | 27 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | = | | - | 34 3 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | = | | | 23 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | = | | - | 74 5 | | (6) |
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Add both sides of equation (11) to both sides of equation (1), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | = | | 72 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | = | | 27 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | = | | - | 34 3 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | = | | | 23 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | | - | 2 5 | J | = | | - | 74 5 | | (6) |
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Multiply both sides of equation (10) by 12 Divide both sides of equation (10) by 35, get the equation:, then subtract both sides of equation (41) from both sides of equation (6), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | = | | 72 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | = | | 27 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | = | | - | 34 3 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | | - | 1 2 | J | = | | | 23 2 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | = | | - | 486 35 | | (6) |
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Multiply both sides of equation (10) by 3 Divide both sides of equation (10) by 7, get the equation:, then subtract both sides of equation (42) from both sides of equation (5), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | = | | 72 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | = | | 27 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | + | | | 2 3 | J | = | | - | 34 3 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | = | | | 177 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | = | | - | 486 35 | | (6) |
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Multiply both sides of equation (10) by 4 Divide both sides of equation (10) by 7, get the equation:, then add the two sides of equation (43) to both sides of equation (4), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | = | | 72 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | + | | J | = | | 27 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | = | | - | 90 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | = | | | 177 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | = | | - | 486 35 | | (6) |
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Multiply both sides of equation (10) by 6 Divide both sides of equation (10) by 7, get the equation:, then add the two sides of equation (44) to both sides of equation (2), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | + | | J | = | | 72 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | = | | | 173 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | = | | - | 90 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | = | | | 177 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | = | | - | 486 35 | | (6) |
| | | | | |
Multiply both sides of equation (10) by 6 Divide both sides of equation (10) by 7, get the equation:, then add the two sides of equation (45) to both sides of equation (1), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | = | | | 488 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | = | | | 173 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | = | | - | 90 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | = | | | 177 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | = | | - | 486 35 | | (6) |
| | | | | |
Divide both sides of equation (9) by 4, get the equation:, then subtract both sides of equation (46) from both sides of equation (8), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | = | | | 488 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | = | | | 173 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | = | | - | 90 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | = | | | 177 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | + | | 2 | I | = | | - | 486 35 | | (6) |
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Divide both sides of equation (9) by 2, get the equation:, then subtract both sides of equation (47) from both sides of equation (6), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | = | | | 488 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | = | | | 173 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | = | | - | 90 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | + | | 5 | I | = | | | 177 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | = | | - | 976 35 | | (6) |
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Multiply both sides of equation (9) by 5 Divide both sides of equation (9) by 4, get the equation:, then subtract both sides of equation (48) from both sides of equation (5), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | = | | | 488 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | = | | | 173 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | | -4 | I | = | | - | 90 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | = | | - | 313 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | = | | - | 976 35 | | (6) |
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Add both sides of equation (9) to both sides of equation (4), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | = | | | 488 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | | -3 | I | = | | | 173 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | = | | | 106 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | = | | - | 313 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | = | | - | 976 35 | | (6) |
| | | | | |
Multiply both sides of equation (9) by 3 Divide both sides of equation (9) by 4, get the equation:, then add the two sides of equation (49) to both sides of equation (2), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | + | | 3 | I | = | | | 488 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | = | | | 320 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | = | | | 106 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | = | | - | 313 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | = | | - | 976 35 | | (6) |
| | | | | |
Multiply both sides of equation (9) by 3 Divide both sides of equation (9) by 4, get the equation:, then subtract both sides of equation (50) from both sides of equation (1), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | = | | | 341 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | = | | | 320 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | = | | | 106 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | = | | - | 313 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | = | | - | 976 35 | | (6) |
| | | | | |
Subtract both sides of equation (8) from both sides of equation (7), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | = | | | 341 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | = | | | 320 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | = | | | 106 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | = | | - | 313 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | | -2 | H | = | | - | 976 35 | | (6) |
| | | | | |
Multiply both sides of equation (8) by 2, get the equation:, then add the two sides of equation (51) to both sides of equation (6), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | = | | | 341 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | = | | | 320 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | = | | | 106 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | | - | 5 2 | H | = | | - | 313 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | = | | - | 696 35 | | (6) |
| | | | | |
Multiply both sides of equation (8) by 5 Divide both sides of equation (8) by 2, get the equation:, then add the two sides of equation (52) to both sides of equation (5), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | = | | | 341 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | = | | | 320 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | + | | | 2 3 | H | = | | | 106 7 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | = | | - | 173 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | = | | - | 696 35 | | (6) |
| | | | | |
Multiply both sides of equation (8) by 2 Divide both sides of equation (8) by 3, get the equation:, then subtract both sides of equation (53) from both sides of equation (4), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | = | | | 341 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | + | | H | = | | | 320 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | = | | | 262 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | = | | - | 173 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | = | | - | 696 35 | | (6) |
| | | | | |
Subtract both sides of equation (8) from both sides of equation (2), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | + | | H | = | | | 341 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | = | | | 292 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | = | | | 262 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | = | | - | 173 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | = | | - | 696 35 | | (6) |
| | | | | |
Subtract both sides of equation (8) from both sides of equation (1), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | = | | | 313 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | = | | | 292 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | = | | | 262 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | = | | - | 173 14 | | (5) |
| - | 12 5 | F | | - | 4 5 | G | = | | - | 696 35 | | (6) |
| | | | | |
Multiply both sides of equation (7) by 4 Divide both sides of equation (7) by 5, get the equation:, then add the two sides of equation (54) to both sides of equation (6), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | = | | | 313 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | = | | | 292 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | = | | | 262 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | + | | | 3 2 | G | = | | - | 173 14 | | (5) |
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Multiply both sides of equation (7) by 3 Divide both sides of equation (7) by 2, get the equation:, then subtract both sides of equation (55) from both sides of equation (5), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | = | | | 313 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | = | | | 292 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | + | | | 2 3 | G | = | | | 262 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | = | | - | 299 14 | | (5) |
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Multiply both sides of equation (7) by 2 Divide both sides of equation (7) by 3, get the equation:, then subtract both sides of equation (56) from both sides of equation (4), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | = | | | 313 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | = | | | 292 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | = | | | 178 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | = | | - | 299 14 | | (5) |
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Multiply both sides of equation (7) by 2, get the equation:, then add the two sides of equation (57) to both sides of equation (3), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | = | | | 313 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | | -1 | G | = | | | 292 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | = | | | 178 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | = | | - | 299 14 | | (5) |
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Add both sides of equation (7) to both sides of equation (2), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | + | | G | = | | | 313 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | = | | | 334 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | = | | | 178 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | = | | - | 299 14 | | (5) |
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Subtract both sides of equation (7) from both sides of equation (1), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | = | | | 271 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | = | | | 334 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | = | | | 178 21 | | (4) |
| - | 5 2 | E | | - | 1 2 | F | = | | - | 299 14 | | (5) |
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Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 24, get the equation:, then subtract both sides of equation (58) from both sides of equation (5), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | = | | | 271 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | = | | | 334 7 | | (2) |
| | | | 4 3 | D | + | | | 2 3 | E | + | | | 2 3 | F | = | | | 178 21 | | (4) |
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Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 18, get the equation:, then add the two sides of equation (59) to both sides of equation (4), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | = | | | 271 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | + | | F | = | | | 334 7 | | (2) |
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Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 12, get the equation:, then add the two sides of equation (60) to both sides of equation (2), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | + | | F | = | | | 271 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | = | | | 290 7 | | (2) |
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Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 12, get the equation:, then add the two sides of equation (61) to both sides of equation (1), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | = | | | 227 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | = | | | 290 7 | | (2) |
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Multiply both sides of equation (5) by 4 Divide both sides of equation (5) by 15, get the equation:, then add the two sides of equation (62) to both sides of equation (4), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | = | | | 227 7 | | (1) |
| | 3 | B | + | | 2 | C | + | | D | + | | E | = | | | 290 7 | | (2) |
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Multiply both sides of equation (5) by 2 Divide both sides of equation (5) by 5, get the equation:, then add the two sides of equation (63) to both sides of equation (2), get the equation:
| | | | A | + | | 3 | B | + | | D | + | | E | = | | | 227 7 | | (1) |
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Multiply both sides of equation (5) by 2 Divide both sides of equation (5) by 5, get the equation:, then add the two sides of equation (64) to both sides of equation (1), get the equation:
Multiply both sides of equation (4) by 3 Divide both sides of equation (4) by 4, get the equation:, then add the two sides of equation (65) to both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 3 Divide both sides of equation (4) by 4, get the equation:, then subtract both sides of equation (66) from both sides of equation (2), get the equation:
Multiply both sides of equation (4) by 3 Divide both sides of equation (4) by 4, get the equation:, then subtract both sides of equation (67) from both sides of equation (1), get the equation:
Subtract both sides of equation (3) from both sides of equation (2), get the equation:
Subtract both sides of equation (2) from both sides of equation (1), get the equation:
The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
Therefore, the solution of the equation set is:
Convert the solution of the equation set to decimals:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |