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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:
 5A + 6B = 1    (1)
 A + 5B + 6C = 0    (2)
 B + 5C + 6D = 0    (3)
 C + 5D + 6E = 0    (4)
 D + 5E = 1    (5)
Question solving process:

Divide the two sides of equation (1) by 5, the equation can be obtained:
         A + 
6
5
B = 
1
5
    (6)
, then subtract both sides of equation (6) from both sides of equation (2), the equations are reduced to:
 5A + 6B = 1    (1)
 
19
5
B + 6C = - 
1
5
    (2)
 B + 5C + 6D = 0    (3)
 C + 5D + 6E = 0    (4)
 D + 5E = 1    (5)

Multiply both sides of equation (2) by 5
Divide the two sides of equation (2) by 19, the equation can be obtained:
         B + 
30
19
C = - 
1
19
    (7)
, then subtract both sides of equation (7) from both sides of equation (3), the equations are reduced to:
 5A + 6B = 1    (1)
 
19
5
B + 6C = - 
1
5
    (2)
 
65
19
C + 6D = 
1
19
    (3)
 C + 5D + 6E = 0    (4)
 D + 5E = 1    (5)

Multiply both sides of equation (3) by 19
Divide the two sides of equation (3) by 65, the equation can be obtained:
         C + 
114
65
D = 
1
65
    (8)
, then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
 5A + 6B = 1    (1)
 
19
5
B + 6C = - 
1
5
    (2)
 
65
19
C + 6D = 
1
19
    (3)
 
211
65
D + 6E = - 
1
65
    (4)
 D + 5E = 1    (5)

Multiply both sides of equation (4) by 65
Divide the two sides of equation (4) by 211, the equation can be obtained:
         D + 
390
211
E = - 
1
211
    (9)
, then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
 5A + 6B = 1    (1)
 
19
5
B + 6C = - 
1
5
    (2)
 
65
19
C + 6D = 
1
19
    (3)
 
211
65
D + 6E = - 
1
65
    (4)
 
665
211
E = 
212
211
    (5)

Multiply both sides of equation (5) by 1266
Divide both sides of equation (5) by 665, get the equation：
         
1266
211
E = 
1272
665
    (10)
, then subtract both sides of equation (10) from both sides of equation (4), get the equation：
 5A + 6B = 1    (1)
 
19
5
B + 6C = - 
1
5
    (2)
 
65
19
C + 6D = 
1
19
    (3)
 
211
65
D = - 
16669
8645
    (4)
 
665
211
E = 
212
211
    (5)

Multiply both sides of equation (4) by 390
Divide both sides of equation (4) by 211, get the equation：
         
1266
211
D = - 
100014
28063
    (11)
, then subtract both sides of equation (11) from both sides of equation (3), get the equation：
 5A + 6B = 1    (1)
 
19
5
B + 6C = - 
1
5
    (2)
 
65
19
C = 
101491
28063
    (3)
 
211
65
D = - 
16669
8645
    (4)
 E = 
212
665
    (5)

Multiply both sides of equation (3) by 114
Divide both sides of equation (3) by 65, get the equation：
         6C = 
46842
7385
    (12)
, then subtract both sides of equation (12) from both sides of equation (2), get the equation：
 5A + 6B = 1    (1)
 
19
5
B = - 
48319
7385
    (2)
 
65
19
C = 
101491
28063
    (3)
 D = - 
16669
28063
    (4)
 E = 
212
665
    (5)

Multiply both sides of equation (2) by 30
Divide both sides of equation (2) by 19, get the equation：
         6B = - 
289914
28063
    (13)
, then subtract both sides of equation (13) from both sides of equation (1), get the equation：
 5A = 
317977
28063
    (1)
 
19
5
B = - 
48319
7385
    (2)
 C = 
7807
7385
    (3)
 D = - 
16669
28063
    (4)
 E = 
212
665
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = 
1507
665
    (1)
 B = - 
48319
28063
    (2)
 C = 
7807
7385
    (3)
 D = - 
16669
28063
    (4)
 E = 
212
665
    (5)


Therefore, the solution of the equation set is:
A = 
1507
665
B = - 
48319
28063
C = 
7807
7385
D = - 
16669
28063
E = 
212
665


Convert the solution of the equation set to decimals:
A = 2.266165
B = -1.721805
C = 1.057143
D = -0.593985
E = 0.318797

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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