detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 10, the equation can be obtained: | | | 1 10 | x | | - | 1 50 | y | + | | | 1 50 | z | = | | 0 | (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 10, the equation can be obtained: | | | 1 10 | x | | - | 1 50 | y | + | | | 1 50 | 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 6 Divide the two sides of equation (2) by 49, 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 441 Divide both sides of equation (3) by 2455, get the equation: | | | 4419 24550 | z | = | | - | 54 2455 | (7) | , then add the two sides of equation (7) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 98 Divide both sides of equation (3) by 491, 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 10 Divide both sides of equation (2) by 49, 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》 |