Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 
371
50
x + 
434
5
y = 
1527
50
    (1)
 
4127
50
x + 
427
50
y = 
1777
50
    (2)
Question solving process:

Multiply both sides of equation (1) by 4127
Divide the two sides of equation (1) by 371, the equation can be obtained:
         
4127
50
x + 
255874
265
y = 
6301929
18550
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
371
50
x + 
434
5
y = 
1527
50
    (1)
- 
2536109
2650
y = - 
2821331
9275
    (2)

Multiply both sides of equation (2) by 230020
Divide both sides of equation (2) by 2536109, get the equation：
        - 
4185062
48215
y = - 
5178396
2555395
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 
371
50
x = 
728633673
25553950
    (1)
- 
2536109
2650
y = - 
2821331
9275
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
728633673
189610309
    (1)
 y = 
5642662
17752763
    (2)


Therefore, the solution of the equation set is:
x = 
728633673
189610309
y = 
5642662
17752763


Convert the solution of the equation set to decimals:
x = 3.842796
y = 0.317847

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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