Mathematics
         
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Multivariate equation
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On line solution of multivariate equations：
    First set the elements of the equation (i.e. the number of unknowns), then click the "Next" button to enter the coefficients of each element of the equation set, and click the "Next" button to obtain the solution of the equation set.
    Note that the coefficients of each element of the equation system can only be numbers, not algebraic expressions (including mathematical functions).
    Current location：Equations > Multivariate equations > Answer
detailed information：
The input equation set is:
 
1936
25
x + 
19
25
y = 
1
5
    (1)
 
4841
5
x + 
1
5
y = 
11
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 24205
Divide the two sides of equation (1) by 1936, the equation can be obtained:
         
4841
5
x + 
91979
9680
y = 
4841
1936
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1936
25
x + 
19
25
y = 
1
5
    (1)
- 
90043
9680
y = - 
2909
9680
    (2)

Multiply both sides of equation (2) by 36784
Divide both sides of equation (2) by 450215, get the equation：
        - 
13471
17725
y = - 
55271
2251075
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 
1936
25
x = 
394944
2251075
    (1)
- 
90043
9680
y = - 
2909
9680
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
204
90043
    (1)
 y = 
2909
90043
    (2)


Therefore, the solution of the equation set is:
x = 
204
90043
y = 
2909
90043


Convert the solution of the equation set to decimals:
x = 0.002266
y = 0.032307

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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