detailed information: The input equation set is: Question solving process:
交After the exchange of equation (1) and equation (3), the equation system becomes:
Multiply both sides of equation (1) by 10, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (2) by 10, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
交After the exchange of equation (3) and equation (4), the equation system becomes:
Multiply both sides of equation (3) by 2 Divide the two sides of equation (3) by 5, the equation can be obtained: | -4 | C | | - | 4 5 | D | | - | 4 5 | F | = | | -16 | (9) | , then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (3) by 2 Divide the two sides of equation (3) by 5, the equation can be obtained: | -4 | C | | - | 4 5 | D | | - | 4 5 | F | = | | -16 | (10) | , then add the two sides of equation (10) to both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (4) by 4 Divide the two sides of equation (4) by 5, the equation can be obtained: , then subtract both sides of equation (11) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (4) by 36 Divide the two sides of equation (4) by 5, the equation can be obtained: | | | 36 5 | D | + | | | 36 5 | E | + | | | 36 5 | F | = | | 0 | (12) | , then subtract both sides of equation (12) from both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (5) by 19, the equation can be obtained: , then subtract both sides of equation (13) from both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 91, get the equation:, then add the two sides of equation (14) to both sides of equation (5), get the equation:
Divide both sides of equation (6) by 182, get the equation:, then subtract both sides of equation (15) from both sides of equation (4), get the equation:
Divide both sides of equation (6) by 91, get the equation:, then add the two sides of equation (16) to both sides of equation (3), get the equation:
Divide both sides of equation (6) by 182, get the equation:, then subtract both sides of equation (17) from both sides of equation (1), get the equation:
Multiply both sides of equation (5) by 5 Divide both sides of equation (5) by 4, get the equation:, then add the two sides of equation (18) to both sides of equation (4), get the equation:
Multiply both sides of equation (4) by 2, get the equation:, then add the two sides of equation (19) to both sides of equation (3), get the equation:
Subtract both sides of equation (4) from both sides of equation (2), get the equation:
Divide both sides of equation (3) by 10, get the equation:, then add the two sides of equation (20) to both sides of equation (2), get the equation:
Subtract both sides of equation (2) from 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》 |