detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 5, the equation can be obtained: , then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
Divide the two sides of equation (1) by 2, 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 25 Divide the two sides of equation (2) by 33, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (3) by 66 Divide both sides of equation (3) by 545, get the equation: | - | 109 545 | z | = | | - | 5175 109 | (7) | , then add the two sides of equation (7) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 66 Divide both sides of equation (3) by 109, get the equation: | - | 109 109 | z | = | | - | 25875 109 | (8) | , then add the two sides of equation (8) to both sides of equation (1), get the equation:
| | | | 50 | x | | -10 | y | = | | - | 13340 109 | | (1) |
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Multiply both sides of equation (2) by 10 Divide both sides of equation (2) by 33, get the equation:, then add the two sides of equation (9) to 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》 |