Mathematics
语言：中文
Language:English

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

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 5, the equation can be obtained:
         
3
2
x - 
3
10
y = 
9
5
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
5
2
x - 
1
2
y = 3    (1)
- 
1
5
y = - 
19
5
    (2)

Multiply both sides of equation (2) by 5
Divide both sides of equation (2) by 2, get the equation：
        - 
1
2
y = - 
19
2
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 
5
2
x = 
25
2
    (1)
- 
1
5
y = - 
19
5
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 5    (1)
 y = 19    (2)


Therefore, the solution of the equation set is:
x = 5
y = 19

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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