detailed information: The input equation set is:
| | | | | -8 | x | + | | 10 | y | + | | 20 | z | = | | -40 | | (3) |
| Question solving process:
Divide the two sides of equation (1) by 5, the equation can be obtained: , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
| | | | | -8 | x | + | | 10 | y | + | | 20 | z | = | | -40 | | (3) |
|
Multiply both sides of equation (1) by 2 Divide the two sides of equation (1) 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:
Divide the two sides of equation (2) by 2, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (3) by 58 Divide both sides of equation (3) by 55, get the equation:, then subtract both sides of equation (7) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 8 Divide both sides of equation (3) by 11, get the equation:, then add the two sides of equation (8) to both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 5 Divide both sides of equation (2) by 29, get the equation:, then subtract both sides of equation (9) from 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》 |