Mathematics
语言：中文
Language:English

current location：Equations > Multivariate equations > Answer
Detailed information：
The input equation set is:
 
119
100
x - 
99
20
y = 0    (1)
 
23
20
x + 
51
10
y = 
911
10
    (2)
Question solving process:

Multiply both sides of equation (1) by 115
Divide the two sides of equation (1) by 119, the equation can be obtained:
         
23
20
x - 
2277
476
y = 0    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
119
100
x - 
99
20
y = 0    (1)
 
23523
2380
y = 
15487
170
    (2)

Multiply both sides of equation (2) by 3927
Divide both sides of equation (2) by 7841, get the equation：
         
776259
156820
y = 
3577497
78410
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 
119
100
x = 
3577497
78410
    (1)
 
23523
2380
y = 
15487
170
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
300630
7841
    (1)
 y = 
216818
23523
    (2)


Therefore, the solution of the equation set is:
x = 
300630
7841
y = 
216818
23523


Convert the solution of the equation set to decimals:
x = 38.340773
y = 9.217277

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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