detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 6, the equation can be obtained: | | x | | - | 1 3 | y | + | | | 1 6 | z | = | | - | 20 3 | (4) | , then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 5 Divide the two sides of equation (1) by 6, the equation can be obtained: | | 5 | x | | - | 5 3 | y | + | | | 5 6 | z | = | | - | 100 3 | (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 10 Divide the two sides of equation (2) by 7, 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 (3) by 7 Divide both sides of equation (3) by 9, get the equation:, then add the two sides of equation (7) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 2 Divide both sides of equation (3) by 3, get the equation:, then add the two sides of equation (8) to both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 3 Divide both sides of equation (2) by 7, get the equation:, then add the two sides of equation (9) 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》 |