detailed information: The input equation set is:
| | | | | -2 | A | + | | 3 | C | | -2 | D | | -6 | E | = | | -24 | | (3) |
| | | | Question solving process:
Multiply both sides of equation (1) by 2, the equation can be obtained: , then add the two sides of equation (7) to both sides of equation (2), the equations are reduced to:
| | | | | -2 | A | + | | 3 | C | | -2 | D | | -6 | E | = | | -24 | | (3) |
| | | |
Multiply both sides of equation (1) by 2, the equation can be obtained: , then add the two sides of equation (8) to both sides of equation (3), the equations are reduced to:
Subtract both sides of equation (1) from both sides of equation (5) ,the equations are reduced to:
Divide the two sides of equation (2) by 3, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (4), the equations are reduced to:
Divide the two sides of equation (2) by 3, the equation can be obtained: , then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
Divide the two sides of equation (3) by 3, the equation can be obtained: , then subtract both sides of equation (11) from both sides of equation (4), the equations are reduced to:
Divide the two sides of equation (3) by 3, the equation can be obtained: , then subtract both sides of equation (12) from both sides of equation (6), the equations are reduced to:
Divide the two sides of equation (4) by 3, the equation can be obtained: , then subtract both sides of equation (13) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (4) by 2 Divide the two sides of equation (4) by 3, the equation can be obtained: , then subtract both sides of equation (14) from both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (5) by 4, the equation can be obtained: , then add the two sides of equation (15) to both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (5) by 6 Divide both sides of equation (5) by 5, get the equation:, then add the two sides of equation (16) to both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 18 Divide both sides of equation (5) by 5, get the equation:, then subtract both sides of equation (17) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 2, get the equation:, then add the two sides of equation (18) to both sides of equation (3), get the equation:
Subtract both sides of equation (4) 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》 |