detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 7 Divide the two sides of equation (1) by 20, the equation can be obtained: | | | 7 10 | A | | - | 7 50 | C | | - | 7 10 | D | | - | 7 20 | E | = | | 0 | (6) | , then add the two sides of equation (6) to both sides of equation (5), the equations are reduced to:
| | | | | | | - | 7 50 | C | + | | | 3 10 | D | | - | 7 20 | E | = | | 0 | | (5) |
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交After the exchange of equation (2) and equation (3), the equation system becomes:
| | | | | | | - | 7 50 | C | + | | | 3 10 | D | | - | 7 20 | E | = | | 0 | | (5) |
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Multiply both sides of equation (2) by 3, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
| | | | | | | - | 7 50 | C | + | | | 3 10 | D | | - | 7 20 | E | = | | 0 | | (5) |
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Multiply both sides of equation (3) by 11 Divide the two sides of equation (3) by 10, the equation can be obtained: , then add the two sides of equation (8) to both sides of equation (4), the equations are reduced to:
| | | | | | | - | 7 50 | C | + | | | 3 10 | D | | - | 7 20 | E | = | | 0 | | (5) |
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Multiply both sides of equation (3) by 7 Divide the two sides of equation (3) by 50, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (4) by 29 Divide the two sides of equation (4) by 110, the equation can be obtained: | | | 29 50 | D | | - | 29 55 | E | = | | - | 551 550 | (10) | , then subtract both sides of equation (10) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (5) by 440 Divide both sides of equation (5) by 39, get the equation:, then add the two sides of equation (11) to both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 220 Divide both sides of equation (5) by 39, get the equation:, then add the two sides of equation (12) to both sides of equation (1), get the equation:
Multiply both sides of equation (4) by 10 Divide both sides of equation (4) by 11, get the equation:, then subtract both sides of equation (13) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 10 Divide both sides of equation (4) by 11, get the equation:, then add the two sides of equation (14) to both sides of equation (1), get the equation:
Divide both sides of equation (3) by 5, get the equation:, then add the two sides of equation (15) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 2 Divide both sides of equation (3) by 5, get the equation:, then add the two sides of equation (16) to 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》 |