Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 
53
5
x + 
31
2
y = -147    (1)
 
23
10
x + 
17
5
y = -35    (2)
Question solving process:

Multiply both sides of equation (1) by 23
Divide the two sides of equation (1) by 106, the equation can be obtained:
         
23
10
x + 
713
212
y = - 
3381
106
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
53
5
x + 
31
2
y = -147    (1)
 
39
1060
y = - 
329
106
    (2)

Multiply both sides of equation (2) by 16430
Divide both sides of equation (2) by 39, get the equation：
         
1643
106
y = - 
50995
39
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 
53
5
x = 
45262
39
    (1)
 
39
1060
y = - 
329
106
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
4270
39
    (1)
 y = - 
3290
39
    (2)


Therefore, the solution of the equation set is:
x = 
4270
39
y = - 
3290
39


Convert the solution of the equation set to decimals:
x = 109.487179
y = -84.358974

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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