detailed information: The input equation set is:
![](img/zku_y.png) | | | | - | 3 20 | x | + | | | 1 10 | y | | - | 1 10 | z | = | | 0 | | (2) |
| | Question solving process:
Multiply both sides of equation (1) by 3 Divide the two sides of equation (1) by 4, the equation can be obtained: | | | 3 20 | x | | - | 3 16 | y | | - | 9 80 | z | = | | 0 | (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, the equation can be obtained: , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 180 Divide the two sides of equation (2) by 7, 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 119 Divide both sides of equation (3) by 2080, get the equation:, then subtract both sides of equation (7) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 21 Divide both sides of equation (3) by 520, get the equation:, then subtract both sides of equation (8) from both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 20 Divide both sides of equation (2) by 7, get the equation:, then subtract both sides of equation (9) 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》 |