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:
 
8661
10000
x + 
1
2
y = 
23
2
    (1)
 
1
2
x 
1
2
y = 
1
2
    (2)
Question solving process:

Multiply both sides of equation (1) by 5000
Divide the two sides of equation (1) by 8661, the equation can be obtained:
         
2887
5774
x + 
2500
8661
y = 
57500
8661
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
8661
10000
x + 
1
2
y = 
23
2
    (1)
13661
17322
y = 
106339
17322
    (2)

Multiply both sides of equation (2) by 8661
Divide both sides of equation (2) by 13661, get the equation:
        
2887
5774
y = 
106339
27322
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
8661
10000
x = 
103932
13661
    (1)
13661
17322
y = 
106339
17322
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
120000
13661
    (1)
 y = 
106339
13661
    (2)


Therefore, the solution of the equation set is:
x = 
120000
13661
y = 
106339
13661


Convert the solution of the equation set to decimals:
x = 8.784130
y = 7.784130

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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