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 (2) by 5, 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 (2) by 5, the equation can be obtained: , then add the two sides of equation (8) to both sides of equation (5), 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 5 Divide the two sides of equation (3) by 11, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (3) by 6 Divide the two sides of equation (3) by 11, the equation can be obtained: , 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 12, the equation can be obtained: , then subtract both sides of equation (11) from both sides of equation (5), the equations are reduced to:
Divide the two sides of equation (5) by 6, the equation can be obtained: , then subtract both sides of equation (12) from both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (6) by 6 Divide both sides of equation (6) by 7, get the equation:, then add the two sides of equation (13) to both sides of equation (5), get the equation:
Divide both sides of equation (5) by 12, get the equation:, then add the two sides of equation (14) to both sides of equation (4), get the equation:
Divide both sides of equation (5) by 12, get the equation:, then subtract both sides of equation (15) from both sides of equation (1), get the equation:
Divide both sides of equation (3) by 11, get the equation:, then add the two sides of equation (16) to both sides of equation (2), get the equation:
Divide both sides of equation (3) by 11, get the equation:, then subtract both sides of equation (17) 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:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |