Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 7x + 
3
4
y = -5    (1)
 
3
4
x + 
3
20
y = -10    (2)
Question solving process:

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 28, the equation can be obtained:
         
3
4
x + 
9
112
y = - 
15
28
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 7x + 
3
4
y = -5    (1)
 
39
560
y = - 
265
28
    (2)

Multiply both sides of equation (2) by 140
Divide both sides of equation (2) by 13, get the equation：
         
3
4
y = - 
1325
13
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 7x = 
1260
13
    (1)
 
39
560
y = - 
265
28
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
180
13
    (1)
 y = - 
5300
39
    (2)


Therefore, the solution of the equation set is:
x = 
180
13
y = - 
5300
39


Convert the solution of the equation set to decimals:
x = 13.846154
y = -135.897436

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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