detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 3 Divide the two sides of equation (1) by 7, the equation can be obtained: | | 6 | x | | - | 12 7 | y | | - | 30 7 | z | = | | | 114 7 | (4) | , then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 5 Divide the two sides of equation (1) by 7, the equation can be obtained: | | 10 | x | | - | 20 7 | y | | - | 50 7 | z | = | | | 190 7 | (5) | , then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
| | | | | - | 160 7 | y | + | | | 195 7 | z | = | | | 190 7 | | (3) |
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Multiply both sides of equation (2) by 40 Divide the two sides of equation (2) by 39, the equation can be obtained: | | | 160 7 | y | | - | 160 7 | z | = | | | 1520 91 | (6) | , then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (3) by 156 Divide both sides of equation (3) by 35, get the equation:, then add the two sides of equation (7) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 2, get the equation:, then add the two sides of equation (8) to both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 7 Divide both sides of equation (2) by 39, get the equation:, then add the two sides of equation (9) 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》 |