detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 6, the equation can be obtained: , 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 2 Divide the two sides of equation (1) by 15, the equation can be obtained: | | 4 | x | | - | 2 3 | y | | - | 2 15 | z | = | | | 18 5 | (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 22 Divide the two sides of equation (2) by 145, 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 7975 Divide both sides of equation (3) by 3066, 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 145 Divide both sides of equation (3) by 511, 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 6 Divide both sides of equation (2) by 29, 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:
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》 |