detailed information: The input equation set is:
| | | | | -1 | A | | - | 1 2 | B | + | | | 3 2 | C | = | | -10 | | (3) |
| - | 1 10 | A | + | | | 1 10 | C | + | | D | = | | 0 | | (4) |
| Question solving process:
Add both sides of equation (1) to both sides of equation (3) ,the equations are reduced to:
| | | | | | - | 1 10 | A | + | | | 1 10 | C | + | | D | = | | 0 | | (4) |
|
Divide the two sides of equation (1) by 10, the equation can be obtained: , then add the two sides of equation (5) to both sides of equation (4), the equations are reduced to:
Divide the two sides of equation (2) by 2, the equation can be obtained: , then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
Divide the two sides of equation (3) by 15, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (4) by 15 Divide both sides of equation (4) by 2, get the equation:, then subtract both sides of equation (8) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 15, get the equation:, then subtract both sides of equation (9) from both sides of equation (2), 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》 |