detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 87 Divide the two sides of equation (1) by 271, the equation can be obtained: | | | | 23577 2710 | x | | - | 435 542 | y | = | | 0 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 208 Divide the two sides of equation (1) by 271, the equation can be obtained: | | | | 28184 1355 | x | | - | 520 271 | y | = | | 0 | (5) | , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 | | | | | | | | 2688 271 | y | | - | 271 271 | z | = | | | 3794 271 | | (3) |
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Multiply both sides of equation (2) by 104064 Divide the two sides of equation (2) by 139565, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 | | | | | | - | 553286191 553286191 | z | = | | | 1834 515 | | (3) |
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Multiply both sides of equation (2) by 271 Divide both sides of equation (2) by 1442, get the equation:| | | | 1355 542 | y | = | | | 73441 27913 | (7) | , then add the two sides of equation (7) to both sides of equation (1), get the equation:
 | | | | | | | z | = | | - | 1114592438 1474546829 | | (3) |
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The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 | | | | | | | z | = | | - | 1114592438 1474546829 | | (3) |
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Therefore, the solution of the equation set is:
 | | | | | | z = | | - | 1114592438 1474546829 | | | | |
Question solving process(leaved out):
The solution of the equation set is:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |
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