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 (2) from both sides of equation (5) ,the equations are reduced to:
交After the exchange of equation (3) and equation (5), the equation system becomes:
Multiply both sides of equation (3) by 2, the equation can be obtained: , then subtract both sides of equation (9) from both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (3) by 2, the equation can be obtained: , then subtract both sides of equation (10) from both sides of equation (7), the equations are reduced to:
交After the exchange of equation (4) and equation (6), the equation system becomes:
Multiply both sides of equation (4) by 2, the equation can be obtained: , then add the two sides of equation (11) to both sides of equation (7), the equations are reduced to:
Subtract both sides of equation (5) from both sides of equation (6) ,the equations are reduced to:
Multiply both sides of equation (6) by 6, the equation can be obtained: , then subtract both sides of equation (12) from both sides of equation (7), the equations are reduced to:
Divide the two sides of equation (7) by 5, the equation can be obtained: , then add the two sides of equation (13) to both sides of equation (8), the equations are reduced to:
Multiply both sides of equation (8) by 5 Divide both sides of equation (8) by 4, get the equation:, then add the two sides of equation (14) to both sides of equation (7), get the equation:
Multiply both sides of equation (8) by 5 Divide both sides of equation (8) by 24, get the equation:, then subtract both sides of equation (15) from both sides of equation (6), get the equation:
Divide both sides of equation (7) by 10, get the equation:, then add the two sides of equation (16) to both sides of equation (6), get the equation:
Divide both sides of equation (7) by 5, get the equation:, then subtract both sides of equation (17) from both sides of equation (4), get the equation:
Multiply both sides of equation (6) by 2, get the equation:, then subtract both sides of equation (18) from both sides of equation (4), get the equation:
Add both sides of equation (6) to both sides of equation (3), get the equation:
Subtract both sides of equation (4) from both sides of equation (3), get the equation:
Divide both sides of equation (4) by 2, get the equation:, then subtract both sides of equation (19) from both sides of equation (2), get the equation:
Subtract both sides of equation (3) from both sides of equation (2), 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》 |