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:
 
1936
25
x + 
4
25
y = 
1
5
    (1)
 
4841
5
x + 
1
5
y = 
11
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 24205
Divide the two sides of equation (1) by 1936, the equation can be obtained:
         
4841
5
x + 
4841
2420
y = 
4841
1936
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1936
25
x + 
4
25
y = 
1
5
    (1)
4357
2420
y = 
2909
9680
    (2)

Multiply both sides of equation (2) by 1936
Divide both sides of equation (2) by 21785, get the equation:
        
17428
108925
y = 
2909
108925
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
1936
25
x = 
18876
108925
    (1)
4357
2420
y = 
2909
9680
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
39
17428
    (1)
 y = 
2909
17428
    (2)


Therefore, the solution of the equation set is:
x = 
39
17428
y = 
2909
17428


Convert the solution of the equation set to decimals:
x = 0.002238
y = 0.166915

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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