detailed information: The input equation set is:
| | | | | | 17 | x | + | | 17 | y | + | | 65 | z | = | | 8228 | | (3) |
| Question solving process:
Multiply both sides of equation (1) by 17 Divide the two sides of equation (1) by 72, the equation can be obtained: , then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
| | | | | | 17 | y | + | | | 373 6 | z | = | | | 531233 72 | | (3) |
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Divide the two sides of equation (2) by 4, 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 (3) by 156 Divide both sides of equation (3) by 707, get the equation: | | | 1313 101 | z | = | | | 6691451 4242 | (6) | , then subtract both sides of equation (6) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 144 Divide both sides of equation (3) by 707, get the equation: | | | 1212 101 | z | = | | | 1029454 707 | (7) | , then subtract both sides of equation (7) 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》 |