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:
 
8667
10000
x 
1
2
y = 
19
2
    (1)
1
2
x + 
3
2
y = 4    (2)
Question solving process:

Multiply both sides of equation (1) by 5000
Divide the two sides of equation (1) by 8667, the equation can be obtained:
         
107
214
x 
2500
8667
y = 
47500
8667
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 
8667
10000
x 
1
2
y = 
19
2
    (1)
 
21001
17334
y = 
82168
8667
    (2)

Multiply both sides of equation (2) by 8667
Divide both sides of equation (2) by 21001, get the equation:
         
21001
42002
y = 
82168
21001
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
8667
10000
x = 
563355
42002
    (1)
 
21001
17334
y = 
82168
8667
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
325000
21001
    (1)
 y = 
164336
21001
    (2)


Therefore, the solution of the equation set is:
x = 
325000
21001
y = 
164336
21001


Convert the solution of the equation set to decimals:
x = 15.475454
y = 7.825151

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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