Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
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:
 A - 
1
8
B = 
11
40
    (1)
 B + 
11
40
C = - 
11
40
    (2)
 C - 
11
40
D = 
51
40
    (3)
 D + 
11
40
E = 
11
40
    (4)
 E = - 
11
40
    (5)
Question solving process:

Multiply both sides of equation (5) by 11
Divide both sides of equation (5) by 40, get the equation：
         
11
40
E = - 
121
1600
    (6)
, then subtract both sides of equation (6) from both sides of equation (4), get the equation：
 A - 
1
8
B = 
11
40
    (1)
 B + 
11
40
C = - 
11
40
    (2)
 C - 
11
40
D = 
51
40
    (3)
 D = 
561
1600
    (4)
 E = - 
11
40
    (5)

Multiply both sides of equation (4) by 11
Divide both sides of equation (4) by 40, get the equation：
         
11
40
D = 
6171
64000
    (7)
, then add the two sides of equation (7) to both sides of equation (3), get the equation：
 A - 
1
8
B = 
11
40
    (1)
 B + 
11
40
C = - 
11
40
    (2)
 C = 
87771
64000
    (3)
 D = 
561
1600
    (4)
 E = - 
11
40
    (5)

Multiply both sides of equation (3) by 11
Divide both sides of equation (3) by 40, get the equation：
         
11
40
C = 
965481
2560000
    (8)
, then subtract both sides of equation (8) from both sides of equation (2), get the equation：
 A - 
1
8
B = 
11
40
    (1)
 B = - 
1669481
2560000
    (2)
 C = 
87771
64000
    (3)
 D = 
561
1600
    (4)
 E = - 
11
40
    (5)

Divide both sides of equation (2) by 8, get the equation：
         
1
8
B = - 
1669481
20480000
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 A = 
3962519
20480000
    (1)
 B = - 
1669481
2560000
    (2)
 C = 
87771
64000
    (3)
 D = 
561
1600
    (4)
 E = - 
11
40
    (5)


Therefore, the solution of the equation set is:
A = 
3962519
20480000
B = - 
1669481
2560000
C = 
87771
64000
D = 
561
1600
E = - 
11
40


Convert the solution of the equation set to decimals:
A = 0.193482
B = -0.652141
C = 1.371422
D = 0.350625
E = -0.275000

解方程组的详细方法请参阅：《多元一次方程组的解法》
return







  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。