detailed information: The input equation set is:
| | | | | | 16 | x | + | | 16 | y | + | | 16 | z | = | | -375 | | (3) |
| Question solving process:
交After the exchange of equation (1) and equation (2), the equation system becomes:
| | | | | | 16 | x | + | | 16 | y | + | | 16 | z | = | | -375 | | (3) |
|
Multiply both sides of equation (1) by 2, the equation can be obtained: | | 16 | x | + | | 32 | y | + | | 64 | z | = | | -174 | (4) | , then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
交After the exchange of equation (2) and equation (3), the equation system becomes:
Multiply both sides of equation (3) by 6, get the equation:, then add the two sides of equation (5) 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 (6) from both sides of equation (1), get the equation:
Add both sides of equation (2) 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》 |