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:
 
1
20
x + 
1
10
y = 
5171874
25
    (1)
 x + y = 
58185749
25
    (2)
Question solving process:

Multiply both sides of equation (1) by 20, the equation can be obtained:
         x + 2y = 
20687496
5
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1
20
x + 
1
10
y = 
5171874
25
    (1)
-1y = - 
45251731
25
    (2)

Divide both sides of equation (2) by 10, get the equation：
        - 
1
10
y = - 
45251731
250
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 
1
20
x = 
6467009
250
    (1)
-1y = - 
45251731
25
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
12934018
25
    (1)
 y = 
45251731
25
    (2)


Therefore, the solution of the equation set is:
x = 
12934018
25
y = 
45251731
25


Convert the solution of the equation set to decimals:
x = 517360.720000
y = 1810069.240000

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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