detailed information: The input equation set is:
| | | | | 80 | x | + | | 15 | y | + | | 21 | z | = | | 300 | | (2) |
| | Question solving process:
Multiply both sides of equation (1) by 80, the equation can be obtained: | | 80 | x | + | | 80 | y | + | | 80 | z | = | | 2400 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
Subtract both sides of equation (1) from both sides of equation (3) ,the equations are reduced to:
Divide both sides of equation (2) by 65, get the equation: | -1 | y | | - | 59 65 | z | = | | - | 420 13 | (5) | , then add the two sides of equation (5) 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:
Where: z are arbitrary constants. 解方程组的详细方法请参阅:《多元一次方程组的解法》 |