detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 4, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
交After the exchange of equation (2) and equation (3), the equation system becomes:
Multiply both sides of equation (2) by 11 Divide the two sides of equation (2) by 8, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (2) by 3 Divide the two sides of equation (2) by 8, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (5), the equations are reduced to:
 | | | | | | | - | 3 2 | C | + | | D | | -3 | E | + | | 2 | F | = | | - | 3 8 | | (5) |
| |
交After the exchange of equation (3) and equation (4), the equation system becomes:
 | | | | | | | - | 3 2 | C | + | | D | | -3 | E | + | | 2 | F | = | | - | 3 8 | | (5) |
| |
Multiply both sides of equation (3) by 3 Divide the two sides of equation (3) by 5, the equation can be obtained: | | | 3 2 | C | | - | 24 5 | D | + | | | 6 5 | E | = | | | 81 40 | (10) | , then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
 | | | | | | | - | 19 5 | D | | - | 9 5 | E | + | | 2 | F | = | | | 33 20 | | (5) |
| |
Multiply both sides of equation (3) by 6 Divide the two sides of equation (3) by 5, the equation can be obtained: | | 3 | C | | - | 48 5 | D | + | | | 12 5 | E | = | | | 81 20 | (11) | , then add the two sides of equation (11) to both sides of equation (6), the equations are reduced to:
 | | | | | | | - | 19 5 | D | | - | 9 5 | E | + | | 2 | F | = | | | 33 20 | | (5) |
| |
交After the exchange of equation (4) and equation (5), the equation system becomes:
 | | | | | | - | 19 5 | D | | - | 9 5 | E | + | | 2 | F | = | | | 33 20 | | (4) |
| | |
Multiply both sides of equation (4) by 28 Divide the two sides of equation (4) by 19, the equation can be obtained: | - | 28 5 | D | | - | 252 95 | E | + | | | 56 19 | F | = | | | 231 95 | (12) | , then subtract both sides of equation (12) from both sides of equation (6), the equations are reduced to:
 | | | | | | - | 19 5 | D | | - | 9 5 | E | + | | 2 | F | = | | | 33 20 | | (4) |
| | | | 58 19 | E | | - | 56 19 | F | = | | | 123 76 | | (6) |
|
Multiply both sides of equation (5) by 29 Divide the two sides of equation (5) by 57, the equation can be obtained: , then subtract both sides of equation (13) from both sides of equation (6), the equations are reduced to:
 | | | | | | - | 19 5 | D | | - | 9 5 | E | + | | 2 | F | = | | | 33 20 | | (4) |
| | |
Multiply both sides of equation (6) by 19 Divide both sides of equation (6) by 28, get the equation:, then add the two sides of equation (14) to both sides of equation (4), get the equation:
 | | | | | | - | 19 5 | D | | - | 9 5 | E | = | | | 4037 1680 | | (4) |
| | |
Multiply both sides of equation (5) by 3 Divide both sides of equation (5) by 10, get the equation:, then add the two sides of equation (15) to both sides of equation (4), get the equation:
Divide both sides of equation (5) by 3, get the equation:, then subtract both sides of equation (16) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 40 Divide both sides of equation (4) by 19, get the equation:, then subtract both sides of equation (17) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 10 Divide both sides of equation (4) by 19, get the equation:, then add the two sides of equation (18) to both sides of equation (1), get the equation:
Multiply both sides of equation (3) by 8 Divide both sides of equation (3) by 5, get the equation:, then add the two sides of equation (19) to both sides of equation (2), get the equation:
Multiply both sides of equation (2) by 3 Divide both sides of equation (2) by 8, get the equation:, then add the two sides of equation (20) 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》 |