Mathematics
语言：中文
Language:English
current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 70x -75y = 8    (1)
 80x -100y = 8    (2)
Question solving process:

Multiply both sides of equation (1) by 8
Divide the two sides of equation (1) by 7, the equation can be obtained:
         80x - 
600
7
y = 
64
7
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 70x -75y = 8    (1)
- 
100
7
y = - 
8
7
    (2)

Multiply both sides of equation (2) by 21
Divide both sides of equation (2) by 4, get the equation：
        -75y = -6    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 70x = 14    (1)
- 
100
7
y = - 
8
7
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
1
5
    (1)
 y = 
2
25
    (2)


Therefore, the solution of the equation set is:
x = 
1
5
y = 
2
25


Convert the solution of the equation set to decimals:
x = 0.200000
y = 0.080000

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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