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:
 
5929
20
x + y = 
43
50
    (1)
 
16183
50
x + y = 
83
50
    (2)
Question solving process:

Multiply both sides of equation (1) by 32366
Divide the two sides of equation (1) by 29645, the equation can be obtained:
         
16183
50
x + 
32366
29645
y = 
695869
741125
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
5929
20
x + y = 
43
50
    (1)
2721
29645
y = 
1068797
1482250
    (2)

Multiply both sides of equation (2) by 29645
Divide both sides of equation (2) by 2721, get the equation:
        
907
907
y = 
1068797
136050
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
5929
20
x = 
23716
2721
    (1)
2721
29645
y = 
1068797
1482250
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
80
2721
    (1)
 y = 
1068797
136050
    (2)


Therefore, the solution of the equation set is:
x = 
80
2721
y = 
1068797
136050


Convert the solution of the equation set to decimals:
x = 0.029401
y = -7.855913

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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