Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 298x -1y = 57    (1)
 398x -1y = 43    (2)
Question solving process:

Multiply both sides of equation (1) by 199
Divide the two sides of equation (1) by 149, the equation can be obtained:
         
59302
149
x - 
199
149
y = 
11343
149
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 298x -1y = 57    (1)
 
50
149
y = - 
4936
149
    (2)

Multiply both sides of equation (2) by 149
Divide both sides of equation (2) by 50, get the equation：
         y = - 
367732
3725
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 298x = - 
155407
3725
    (1)
 
50
149
y = - 
4936
149
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
1043
7450
    (1)
 y = - 
367732
3725
    (2)


Therefore, the solution of the equation set is:
x = - 
1043
7450
y = - 
367732
3725


Convert the solution of the equation set to decimals:
x = -0.140000
y = -98.720000

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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