detailed information: The input equation set is:
| | | | | | -1 | A | + | | 2 | B | + | | 3 | C | + | | 5 | D | = | | 1 | | (4) |
| Question solving process:
Add both sides of equation (1) to both sides of equation (4) ,the equations are reduced to:
Subtract both sides of equation (2) from both sides of equation (4) ,the equations are reduced to:
Multiply both sides of equation (3) by 2, 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 both sides of equation (4) by 5, get the equation:, then subtract both sides of equation (6) from both sides of equation (3), get the equation:
Divide both sides of equation (4) by 5, get the equation:, then subtract both sides of equation (7) from both sides of equation (2), get the equation:
Divide both sides of equation (4) by 5, 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 (3) by 2, get the equation:, then add the two sides of equation (9) to both sides of equation (2), get the equation:
Add both sides of equation (3) to 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:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |