detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 5, the equation can be obtained: , 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 8 Divide the two sides of equation (1) by 5, the equation can be obtained: | | 8 | x | | - | 24 5 | y | | - | 24 5 | z | = | | | 96 5 | (5) | , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
| | | | | - | 16 5 | y | + | | | 19 5 | z | = | | - | 96 5 | | (3) |
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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: , 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 39 Divide both sides of equation (3) by 5, 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 9, 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 5 Divide both sides of equation (2) by 4, 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:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |