detailed information: The input equation set is:
| | | | | | 200 | x | + | | 200 | y | + | | z | = | | 10000 | | (3) |
| Question solving process:
Multiply both sides of equation (1) by 32 Divide the two sides of equation (1) by 15, the equation can be obtained: | | 32 | x | + | | 32 | y | + | | | 32 15 | z | = | | | 6400 3 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
| | | | | | 200 | x | + | | 200 | y | + | | z | = | | 10000 | | (3) |
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Multiply both sides of equation (1) by 40 Divide the two sides of equation (1) by 3, the equation can be obtained: | | 200 | x | + | | 200 | y | + | | | 40 3 | z | = | | | 40000 3 | (5) | , 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 185 Divide the two sides of equation (2) by 17, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
由第(3)方程式可以看出,该方程组无解。
解方程组的详细方法请参阅:《多元一次方程组的解法》 |