detailed information: The input equation set is:
 | | | | | 7321 10000 | x | | - | 2321 10000 | y | | - | 12321 10000 | z | = | | | 2321 10000 | | (1) |
| | | 12321 10000 | y | | - | 2321 10000 | z | = | | | 2321 10000 | | (2) |
| | | 2321 10000 | z | = | | | 12321 10000 | | (3) |
| Question solving process:
Add both sides of equation (3) to both sides of equation (2), get the equation:
 | | | | | 7321 10000 | x | | - | 2321 10000 | y | | - | 12321 10000 | z | = | | | 2321 10000 | | (1) |
| | | 12321 10000 | y | = | | | 7321 5000 | | (2) |
| | | 2321 10000 | z | = | | | 12321 10000 | | (3) |
|
Multiply both sides of equation (3) by 12321 Divide both sides of equation (3) by 2321, get the equation: | | | 12321 10000 | z | = | | | 151807041 23210000 | (4) | , then add the two sides of equation (4) to both sides of equation (1), get the equation:
 | | | | | 7321 10000 | x | | - | 2321 10000 | y | = | | | 78597041 11605000 | | (1) |
| | | 12321 10000 | y | = | | | 7321 5000 | | (2) |
| | | 2321 10000 | z | = | | | 12321 10000 | | (3) |
|
Multiply both sides of equation (2) by 2321 Divide both sides of equation (2) by 12321, get the equation: | | | 2321 10000 | y | = | | | 16992041 61605000 | (5) | , then add the two sides of equation (5) to both sides of equation (1), get the equation:
 | | | | | 7321 10000 | x | = | | | 247440873 208547372 | | (1) |
| | | 12321 10000 | y | = | | | 7321 5000 | | (2) |
| |
The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 | | | | x | = | | | 42297292 186087247 | | (1) |
| | |
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》 |