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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 + D = 5218    (1)
 
27
40
B - 
13
40
D = 0    (2)
 
13
40
C - 
13
40
D = 0    (3)
- 
13
40
A + 
13
40
B = 0    (4)
Question solving process:

Multiply both sides of equation (1) by 13
Divide the two sides of equation (1) by 40, the equation can be obtained:
         
13
40
A + 
13
40
D = 
33917
20
    (5)
, then add the two sides of equation (5) to both sides of equation (4), the equations are reduced to:
 A + D = 5218    (1)
 
27
40
B - 
13
40
D = 0    (2)
 
13
40
C - 
13
40
D = 0    (3)
 
13
40
B + 
13
40
D = 
33917
20
    (4)

Multiply both sides of equation (2) by 13
Divide the two sides of equation (2) by 27, the equation can be obtained:
         
13
40
B - 
169
1080
D = 0    (6)
, then subtract both sides of equation (6) from both sides of equation (4), the equations are reduced to:
 A + D = 5218    (1)
 
27
40
B - 
13
40
D = 0    (2)
 
13
40
C - 
13
40
D = 0    (3)
 
13
27
D = 
33917
20
    (4)

Multiply both sides of equation (4) by 27
Divide both sides of equation (4) by 40, get the equation：
         
13
40
D = 
915759
800
    (7)
, then add the two sides of equation (7) to both sides of equation (3), get the equation：
 A + D = 5218    (1)
 
27
40
B - 
13
40
D = 0    (2)
 
13
40
C = 
915759
800
    (3)
 
13
27
D = 
33917
20
    (4)

Multiply both sides of equation (4) by 27
Divide both sides of equation (4) by 40, get the equation：
         
13
40
D = 
915759
800
    (8)
, then add the two sides of equation (8) to both sides of equation (2), get the equation：
 A + D = 5218    (1)
 
27
40
B = 
915759
800
    (2)
 
13
40
C = 
915759
800
    (3)
 
13
27
D = 
33917
20
    (4)

Multiply both sides of equation (4) by 27
Divide both sides of equation (4) by 13, get the equation：
         D = 
70443
20
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 A = 
33917
20
    (1)
 
27
40
B = 
915759
800
    (2)
 
13
40
C = 
915759
800
    (3)
 
13
27
D = 
33917
20
    (4)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = 
33917
20
    (1)
 B = 
33917
20
    (2)
 C = 
70443
20
    (3)
 D = 
70443
20
    (4)


Therefore, the solution of the equation set is:
A = 
33917
20
B = 
33917
20
C = 
70443
20
D = 
70443
20


Convert the solution of the equation set to decimals:
A = 1695.850000
B = 1695.850000
C = 3522.150000
D = 3522.150000

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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