detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 64 Divide the two sides of equation (1) by 25, the equation can be obtained: | | 64 | x | + | | | 64 5 | y | + | | | 64 25 | z | = | | 64 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
| | | | - | 24 5 | y | | - | 39 25 | z | = | | - | 87 2 | | (2) |
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Multiply both sides of equation (1) by 4, the equation can be obtained: | | 100 | x | + | | 20 | y | + | | 4 | z | = | | 100 | (5) | , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
| | | | - | 24 5 | y | | - | 39 25 | z | = | | - | 87 2 | | (2) |
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Multiply both sides of equation (2) by 25 Divide the two sides of equation (2) by 12, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
| | | | - | 24 5 | y | | - | 39 25 | z | = | | - | 87 2 | | (2) |
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Multiply both sides of equation (3) by 156 Divide both sides of equation (3) by 25, get the equation:, then add the two sides of equation (7) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 4, get the equation:, then subtract both sides of equation (8) from both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 25 Divide both sides of equation (2) by 24, 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》 |