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:
 
476
5
x + y = 
851
10
    (1)
 
251
10
x + y = 
124
5
    (2)
Question solving process:

Multiply both sides of equation (1) by 251
Divide the two sides of equation (1) by 952, the equation can be obtained:
         
251
10
x + 
251
952
y = 
213601
9520
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
476
5
x + y = 
851
10
    (1)
 
701
952
y = 
4499
1904
    (2)

Multiply both sides of equation (2) by 952
Divide both sides of equation (2) by 701, get the equation:
         y = 
4499
1402
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
476
5
x = 
287028
3505
    (1)
 
701
952
y = 
4499
1904
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
603
701
    (1)
 y = 
4499
1402
    (2)


Therefore, the solution of the equation set is:
x = 
603
701
y = 
4499
1402


Convert the solution of the equation set to decimals:
x = 0.860200
y = 3.208987

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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