Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 330x + y = 50    (1)
 425x + y = 54    (2)
Question solving process:

Multiply both sides of equation (1) by 85
Divide the two sides of equation (1) by 66, the equation can be obtained:
         425x + 
85
66
y = 
2125
33
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 330x + y = 50    (1)
- 
19
66
y = - 
343
33
    (2)

Multiply both sides of equation (2) by 66
Divide both sides of equation (2) by 19, get the equation：
        -1y = - 
686
19
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 330x = 
264
19
    (1)
- 
19
66
y = - 
343
33
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
4
95
    (1)
 y = 
686
19
    (2)


Therefore, the solution of the equation set is:
x = 
4
95
y = 
686
19


Convert the solution of the equation set to decimals:
x = 0.042105
y = 36.105263

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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