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 = 
524142857
50000
    (1)
-7x + 
42857
50000
y = 
564692857
50000
    (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 = 
625967297
400000
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
-8x 
42857
50000
y = 
524142857
50000
    (1)
 
128571
80000
y = 
403391737
400000
    (2)

Multiply both sides of equation (2) by 20168
Divide both sides of equation (2) by 37815, get the equation:
         
42857
50000
y = 
38267207
75630000
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
-8x = 
14474659
189075000
    (1)
 
128571
80000
y = 
403391737
400000
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
14474659
1512600000
    (1)
 y = 
403391737
642855
    (2)


Therefore, the solution of the equation set is:
x = 
14474659
1512600000
y = 
403391737
642855


Convert the solution of the equation set to decimals:
x = -0.009569
y = 627.500349

解方程组的详细方法请参阅:《多元一次方程组的解法》