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 25, the equation can be obtained: | | 4 | x | + | | | 32 5 | y | + | | | 16 25 | z | = | | 0 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 4, the equation can be obtained: | | 100 | x | + | | 160 | y | + | | 16 | z | = | | 0 | (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 300 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 413 Divide both sides of equation (3) by 20500, 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 7 Divide both sides of equation (3) by 205, 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 200 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:
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》 |