Mathematics
         
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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:
 
32
5
x + 
14
25
y = 99    (1)
 x + y = 40    (2)
Question solving process:

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 32, the equation can be obtained:
         x + 
7
80
y = 
495
32
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
32
5
x + 
14
25
y = 99    (1)
 
73
80
y = 
785
32
    (2)

Multiply both sides of equation (2) by 224
Divide both sides of equation (2) by 365, get the equation：
         
14
25
y = 
1099
73
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation：
 
32
5
x = 
6128
73
    (1)
 
73
80
y = 
785
32
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
1915
146
    (1)
 y = 
3925
146
    (2)


Therefore, the solution of the equation set is:
x = 
1915
146
y = 
3925
146


Convert the solution of the equation set to decimals:
x = 13.116438
y = 26.883562

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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