detailed information: The input equation set is: Question solving process:
Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
Subtract both sides of equation (1) from both sides of equation (3) ,the equations are reduced to:
Subtract both sides of equation (1) from both sides of equation (4) ,the equations are reduced to:
Divide the two sides of equation (2) by 2, the equation can be obtained: | -1 | B | | - | 1 2 | C | | - | 1 2 | D | = | | - | 127 2 | (5) | , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
Divide the two sides of equation (2) by 2, the equation can be obtained: | -1 | B | | - | 1 2 | C | | - | 1 2 | D | = | | - | 127 2 | (6) | , then subtract both sides of equation (6) 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 (7) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (4) by 3 Divide both sides of equation (4) by 8, 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 3 Divide both sides of equation (4) by 4, get the equation:, then subtract both sides of equation (9) from both sides of equation (2), get the equation:
Multiply both sides of equation (4) by 3 Divide both sides of equation (4) by 4, get the equation:, then add the two sides of equation (10) to both sides of equation (1), get the equation:
Multiply both sides of equation (3) by 2 Divide both sides of equation (3) by 3, get the equation:, then subtract both sides of equation (11) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 2 Divide both sides of equation (3) by 3, get the equation:, then add the two sides of equation (12) to both sides of equation (1), get the equation:
Divide both sides of equation (2) by 2, get the equation:, then add the two sides of equation (13) 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》 |