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:
 
799
10
x + 
38
5
y = 
611
5
    (1)
 
1
10
x + 
1
10
y = 
4431
10
    (2)
Question solving process:

Divide the two sides of equation (1) by 799, the equation can be obtained:
         
1
10
x + 
38
3995
y = 
611
3995
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
799
10
x + 
38
5
y = 
611
5
    (1)
 
723
7990
y = 
75301
170
    (2)

Multiply both sides of equation (2) by 60724
Divide both sides of equation (2) by 723, get the equation:
         
9158
1205
y = 
134487586
3615
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
799
10
x = 
134045833
3615
    (1)
 
723
7990
y = 
75301
170
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
335534
723
    (1)
 y = 
3539147
723
    (2)


Therefore, the solution of the equation set is:
x = 
335534
723
y = 
3539147
723


Convert the solution of the equation set to decimals:
x = -464.085754
y = 4895.085754

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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