Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 x -1y = 2    (1)
 z = -5    (2)
 2x -6y = 2    (3)
Question solving process:

Multiply both sides of equation (1) by 2, the equation can be obtained:
         2x -2y = 4    (4)
, then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
 x -1y = 2    (1)
 z = -5    (2)
-4y = -2    (3)

交After the exchange of equation (2) and equation (3)， the equation system becomes:
 x -1y = 2    (1)
-4y = -2    (2)
 z = -5    (3)

Divide both sides of equation (2) by 4, get the equation：
        -1y = - 
1
2
    (5)
, then subtract both sides of equation (5) from both sides of equation (1), get the equation：
 x = 
5
2
    (1)
-4y = -2    (2)
 z = -5    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
5
2
    (1)
 y = 
1
2
    (2)
 z = -5    (3)


Therefore, the solution of the equation set is:
x = 
5
2
y = 
1
2
z = -5


Convert the solution of the equation set to decimals:
x = 2.500000
y = 0.500000
z = -5

解方程组的详细方法请参阅：《多元一次方程组的解法》
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