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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:
 
43881
100
x + 
51937
50
y = 
33737
50
    (1)
 
21537
50
x + 
43687
50
y = 
28987
50
    (2)
Question solving process:

Multiply both sides of equation (1) by 14358
Divide the two sides of equation (1) by 14627, the equation can be obtained:
         
315021699
731350
x + 
372855723
365675
y = 
242197923
365675
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
43881
100
x + 
51937
50
y = 
33737
50
    (1)
106701697
731350
y = 
60402997
731350
    (2)

Multiply both sides of equation (2) by 759682499
Divide both sides of equation (2) by 106701697, get the equation:
        
17979109
146471418
y = 
56644235
341766642
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
43881
100
x 
2147483648
633181846
y = 
85808265
22884271
    (1)
106701697
731350
y = 
60402997
731350
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x 0y = 
1434691796
279217171
    (1)
 y = 
1248625857
1652593571
    (2)


Therefore, the solution of the equation set is:
x = 
1434691796
279217171
y = 
1248625857
1652593571


Convert the solution of the equation set to decimals:
x = 5.138265
y = 0.755555

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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