detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 4 Divide the two sides of equation (1) by 5, the equation can be obtained: | | 4 | x | | - | 16 5 | y | | - | 4 5 | z | = | | | 32 5 | (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 subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 14 Divide the two sides of equation (2) by 59, the equation can be obtained: | | | 14 5 | y | | - | 196 295 | z | = | | | 448 295 | (6) | , 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 826 Divide both sides of equation (3) by 2105, get the equation: | - | 5894 2105 | z | = | | - | 8358 2105 | (7) | , then subtract both sides of equation (7) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 59 Divide both sides of equation (3) by 421, get the equation:, then subtract both sides of equation (8) from both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 20 Divide both sides of equation (2) by 59, 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》 |