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:
 
14628
5
x + y = 
50201
1000
    (1)
 
5865
2
x + y = 
101
2
    (2)
Question solving process:

Multiply both sides of equation (1) by 425
Divide the two sides of equation (1) by 424, the equation can be obtained:
         
310845
106
x + 
425
424
y = 
853417
16960
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
14628
5
x + y = 
50201
1000
    (1)
- 
1
424
y = 
3063
16960
    (2)

Multiply both sides of equation (2) by 424, get the equation:
        -1y = 
3063
40
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
14628
5
x = 
15847
125
    (1)
- 
1
424
y = 
3063
16960
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
689
15900
    (1)
 y = - 
3063
40
    (2)


Therefore, the solution of the equation set is:
x = 
689
15900
y = - 
3063
40


Convert the solution of the equation set to decimals:
x = 0.043333
y = -76.575000

解方程组的详细方法请参阅:《多元一次方程组的解法》