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 5, the equation can be obtained: | -2 | x | + | | | 6 5 | y | + | | | 4 5 | z | = | | -12 | (4) | , then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
Divide the two sides of equation (1) 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 (2) by 2 Divide the two sides of equation (2) by 11, the equation can be obtained: , then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (3) by 506 Divide both sides of equation (3) by 125, get the equation:, then subtract both sides of equation (7) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 22 Divide both sides of equation (3) by 25, 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 15 Divide both sides of equation (2) by 11, get the equation:, then subtract both sides of equation (9) 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》 |