detailed information: The input equation set is:
| | | | 100 | x | + | | 200 | y | + | | 300 | z | = | | 1000 | | (1) |
| | 10 | x | + | | 20 | y | + | | 30 | z | = | | 100 | | (2) |
| | Question solving process:
Divide the two sides of equation (1) by 10, the equation can be obtained: | | 10 | x | + | | 20 | y | + | | 30 | z | = | | 100 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
| | | | 100 | x | + | | 200 | y | + | | 300 | z | = | | 1000 | | (1) |
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Divide the two sides of equation (1) by 100, the equation can be obtained: , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
| | | | 100 | x | + | | 200 | y | + | | 300 | z | = | | 1000 | | (1) |
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The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
Therefore, the solution of the equation set is:
Where: y, z are arbitrary constants. 解方程组的详细方法请参阅:《多元一次方程组的解法》 |