detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 7 Divide the two sides of equation (1) by 3, the equation can be obtained: | | 7 | x | + | | | 28 3 | y | + | | | 35 3 | z | = | | 14 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 11 Divide the two sides of equation (1) by 3, the equation can be obtained: | | 11 | x | + | | | 44 3 | y | + | | | 55 3 | z | = | | 22 | (5) | , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 2, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 3, get the equation:, then add the two sides of equation (7) 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:
Where: z are arbitrary constants. 解方程组的详细方法请参阅:《多元一次方程组的解法》 |