Mathematics
         
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                                Equations   
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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:
-8x - 
42857
50000
y = 
524342857
50000
    (1)
-7x + 
42857
50000
y = 
112918571
10000
    (2)
Question solving process:

Multiply both sides of equation (1) by 7
Divide the two sides of equation (1) by 8, the equation can be obtained:
        -7x - 
299999
400000
y = 
624567297
400000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
-8x - 
42857
50000
y = 
524342857
50000
    (1)
 
128571
80000
y = 
402791753
400000
    (2)

Multiply both sides of equation (2) by 20168
Divide both sides of equation (2) by 37815, get the equation:
         
42857
50000
y = 
608575819
630250000
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
-8x = 
54753
7878125
    (1)
 
128571
80000
y = 
402791753
400000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = - 
54753
63025000
    (1)
 y = 
402791753
642855
    (2)


Therefore, the solution of the equation set is:
x = - 
54753
63025000
y = 
402791753
642855


Convert the solution of the equation set to decimals:
x = -0.000869
y = 626.567038

解方程组的详细方法请参阅:《多元一次方程组的解法》