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:
Divide the two sides of equation (1) by 6, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (4), the equations are reduced to:
交After the exchange of equation (2) and equation (3), the equation system becomes:
Divide the two sides of equation (2) by 6, the equation can be obtained: , then subtract both sides of equation (7) from 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 subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (3) by 5 Divide the two sides of equation (3) by 12, the equation can be obtained: | - | 5 3 | C | + | | | 5 4 | D | | - | 5 12 | E | = | | | 5 2 | (9) | , then subtract both sides of equation (9) from both sides of equation (4), the equations are reduced to:
Divide the two sides of equation (3) by 4, the equation can be obtained: | -1 | C | + | | | 3 4 | D | | - | 1 4 | E | = | | | 3 2 | (10) | , 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 (4) by 3, the equation can be obtained: , then add the two sides of equation (11) to both sides of equation (5), the equations are reduced to:
Divide both sides of equation (5) by 6, get the equation:, then add the two sides of equation (12) to both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 2 Divide both sides of equation (5) by 3, get the equation:, then subtract both sides of equation (13) from both sides of equation (3), get the equation:
Multiply both sides of equation (5) by 2 Divide both sides of equation (5) by 3, get the equation:, then add the two sides of equation (14) to both sides of equation (2), get the equation:
Multiply both sides of equation (4) by 4 Divide both sides of equation (4) by 3, get the equation:, then add the two sides of equation (15) to both sides of equation (3), 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:
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》 |