detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 2 Divide the two sides of equation (1) by 3, the equation can be obtained: | | | 1 2 | x | | - | 1 6 | y | | - | 1 3 | z | = | | | 20 3 | (4) | , then add the two sides of equation (4) to both sides of equation (3), the equations are reduced to:
Divide the two sides of equation (2) by 3, the equation can be obtained: , then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
Add both sides of equation (3) to both sides of equation (2), get the equation:
Add both sides of equation (3) to both sides of equation (1), get the equation:
Divide both sides of equation (2) by 2, get the equation:, then add the two sides of equation (6) 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:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |