detailed information: The input equation set is:
| | | | | -2 | y | + | | | 6111 2500 | z | = | | | 4518 125 | | (3) |
| Question solving process:
Divide the two sides of equation (1) by 3, the equation can be obtained: , then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
| | | | | -2 | y | + | | | 6111 2500 | z | = | | | 4518 125 | | (3) |
|
Multiply both sides of equation (2) by 3 Divide the two sides of equation (2) by 5, the equation can be obtained: , then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (3) by 5000 Divide both sides of equation (3) by 3111, get the equation:, then add the two sides of equation (6) to both sides of equation (2), get the equation:
Multiply both sides of equation (2) by 3 Divide both sides of equation (2) by 5, get the equation:, then add the two sides of equation (7) 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》 |