detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 2, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 2, 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 (1) by 2, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (5), 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 (9) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (2) by 2, the equation can be obtained: | -4 | B | + | | 8 | D | + | | 16 | E | = | | -140 | (10) | , then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
Add both sides of equation (3) to both sides of equation (4) ,the equations are reduced to:
Subtract both sides of equation (4) from both sides of equation (5) ,the equations are reduced to:
Multiply both sides of equation (5) by 3, get the equation:, then subtract both sides of equation (11) from both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 2, get the equation:, then subtract both sides of equation (12) from both sides of equation (3), get the equation:
Multiply both sides of equation (5) by 2, get the equation:, then subtract both sides of equation (13) from both sides of equation (2), get the equation:
Multiply both sides of equation (4) by 2 Divide both sides of equation (4) by 3, get the equation:, then subtract both sides of equation (14) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 2 Divide both sides of equation (4) by 3, get the equation:, then subtract both sides of equation (15) from both sides of equation (2), get the equation:
Divide both sides of equation (2) by 2, get the equation:, then add the two sides of equation (16) 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:
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》 |