detailed information: The input equation set is:
| | | | | | 300 | x | + | | 552 | y | + | | 66864 | z | = | | 548 | | (3) |
| Question solving process:
Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
| | | | | | 300 | x | + | | 552 | y | + | | 66864 | z | = | | 548 | | (3) |
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Multiply both sides of equation (1) by 75, the equation can be obtained: | | 300 | x | + | | 300 | y | + | | 22500 | z | = | | 225 | (4) | , then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 42, 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 21 Divide both sides of equation (3) by 2815, get the equation: | | | 141876 563 | z | = | | - | 273 2815 | (6) | , then subtract both sides of equation (6) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 5 Divide both sides of equation (3) by 563, get the equation:, then subtract both sides of equation (7) from both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 2 Divide both sides of equation (2) by 3, get the equation:, then subtract both sides of equation (8) 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》 |