Mathematics
         
语言:中文    Language:English
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:
 
933
2000
x 
533
2000
y = 1    (1)
533
2000
x + 
2533
2000
y = 1    (2)
Question solving process:

Multiply both sides of equation (1) by 533
Divide the two sides of equation (1) by 933, the equation can be obtained:
         
533
2000
x 
284089
1866000
y = 
533
933
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 
933
2000
x 
533
2000
y = 1    (1)
 
5198
4665
y = 
1466
933
    (2)

Multiply both sides of equation (2) by 497289
Divide both sides of equation (2) by 2079200, get the equation:
         
533
2000
y = 
390689
1039600
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
933
2000
x = 
1430289
1039600
    (1)
 
5198
4665
y = 
1466
933
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
7665
2599
    (1)
 y = 
3665
2599
    (2)


Therefore, the solution of the equation set is:
x = 
7665
2599
y = 
3665
2599


Convert the solution of the equation set to decimals:
x = 2.949211
y = 1.410158

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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