detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 3, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 2 Divide the two sides of equation (1) 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:
Divide the two sides of equation (1) by 3, 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 (2) by 3 Divide the two sides of equation (2) by 4, the equation can be obtained: , then subtract both sides of equation (10) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 3 Divide the two sides of equation (2) by 4, the equation can be obtained: , then subtract both sides of equation (11) from both sides of equation (4), the equations are reduced to:
Divide the two sides of equation (2) by 4, the equation can be obtained: , then add the two sides of equation (12) to both sides of equation (5), the equations are reduced to:
Divide the two sides of equation (2) by 4, the equation can be obtained: , then subtract both sides of equation (13) from both sides of equation (6), the equations are reduced to:
交After the exchange of equation (3) and equation (4), the equation system becomes:
Subtract both sides of equation (3) from both sides of equation (5) ,the equations are reduced to:
Add both sides of equation (4) to both sides of equation (6) ,the equations are reduced to:
Multiply both sides of equation (5) by 3, the equation can be obtained: , then add the two sides of equation (14) to both sides of equation (6), the equations are reduced to:
由第(6)方程式可以看出,该方程组无解。
解方程组的详细方法请参阅:《多元一次方程组的解法》 |