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:
 
6
5
x + 
6
5
y = 
1
25
    (1)
 800x - 
1351
25
y = 
76
25
    (2)
Question solving process:

Multiply both sides of equation (1) by 2000
Divide the two sides of equation (1) by 3, the equation can be obtained:
         800x + 800y = 
80
3
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
6
5
x + 
6
5
y = 
1
25
    (1)
- 
21351
25
y = - 
1772
75
    (2)

Multiply both sides of equation (2) by 10
Divide both sides of equation (2) by 7117, get the equation：
        - 
3882
3235
y = - 
3544
106755
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation：
 
6
5
x = 
3631
533775
    (1)
- 
21351
25
y = - 
1772
75
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
3631
640530
    (1)
 y = 
1772
64053
    (2)


Therefore, the solution of the equation set is:
x = 
3631
640530
y = 
1772
64053


Convert the solution of the equation set to decimals:
x = 0.005669
y = 0.027665

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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