detailed information: The input equation set is: Question solving process:
Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
Multiply both sides of equation (1) by 7 Divide the two sides of equation (1) by 5, the equation can be obtained: | | 7 | x | + | | | 42 5 | y | + | | | 49 5 | z | = | | | 7 5 | (4) | , then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 17 Divide the two sides of equation (2) by 5, the equation can be obtained: , then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (3) by 5 Divide both sides of equation (3) by 36, get the equation:, then subtract both sides of equation (6) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 35 Divide both sides of equation (3) by 36, get the equation:, then add the two sides of equation (7) to both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 6, get the equation:, then subtract both sides of equation (8) 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:
Convert the solution of the equation set to decimals:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |