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:
Add both sides of equation (1) to both sides of equation (4) ,the equations are reduced to:
Multiply both sides of equation (2) by 6, the equation can be obtained: , then add the two sides of equation (6) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (3) by 2, the equation can be obtained: , then add the two sides of equation (7) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (3) by 5 Divide the two sides of equation (3) by 3, the equation can be obtained: , then add the two sides of equation (8) to both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (4) by 23 Divide the two sides of equation (4) by 24, the equation can be obtained: | | | 23 3 | D | | - | 161 24 | E | = | | - | 23 8 | (9) | , then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (5) by 168 Divide both sides of equation (5) by 185, get the equation:, then add the two sides of equation (10) to both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 24 Divide both sides of equation (5) by 185, get the equation:, then add the two sides of equation (11) to both sides of equation (2), get the equation:
Divide both sides of equation (4) by 2, get the equation:, then subtract both sides of equation (12) from both sides of equation (3), get the equation:
Divide both sides of equation (3) by 3, get the equation:, then add the two sides of equation (13) to both sides of equation (2), 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》 |