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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:
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
-10A -25B + 35D = 0    (4)
 B -1D - 
1
5
E = 0    (5)
Question solving process:

Divide the two sides of equation (1) by 11, the equation can be obtained:
         10A - 
10
11
D = - 
310
11
    (6)
, then add the two sides of equation (6) to both sides of equation (4), the equations are reduced to:
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
-25B + 
375
11
D = - 
310
11
    (4)
 B -1D - 
1
5
E = 0    (5)

Divide the two sides of equation (2) by 17, the equation can be obtained:
         25B - 
400
17
C - 
25
17
D = 
310
17
    (7)
, then add the two sides of equation (7) to both sides of equation (4), the equations are reduced to:
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
- 
400
17
C + 
6100
187
D = - 
1860
187
    (4)
 B -1D - 
1
5
E = 0    (5)

Divide the two sides of equation (2) by 425, the equation can be obtained:
         B - 
16
17
C - 
1
17
D = 
62
85
    (8)
, then subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
- 
400
17
C + 
6100
187
D = - 
1860
187
    (4)
 
16
17
C - 
16
17
D - 
1
5
E = - 
62
85
    (5)

Multiply both sides of equation (3) by 400
Divide the two sides of equation (3) by 17, the equation can be obtained:
         
400
17
C - 
205
17
E = 0    (9)
, then add the two sides of equation (9) to both sides of equation (4), the equations are reduced to:
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
 
6100
187
D - 
205
17
E = - 
1860
187
    (4)
 
16
17
C - 
16
17
D - 
1
5
E = - 
62
85
    (5)

Multiply both sides of equation (3) by 16
Divide the two sides of equation (3) by 17, the equation can be obtained:
         
16
17
C - 
41
85
E = 0    (10)
, then subtract both sides of equation (10) from both sides of equation (5), the equations are reduced to:
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
 
6100
187
D - 
205
17
E = - 
1860
187
    (4)
- 
16
17
D + 
24
85
E = - 
62
85
    (5)

Multiply both sides of equation (4) by 44
Divide the two sides of equation (4) by 1525, the equation can be obtained:
         
16
17
D - 
1804
5185
E = - 
1488
5185
    (11)
, then add the two sides of equation (11) to both sides of equation (5), the equations are reduced to:
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
 
6100
187
D - 
205
17
E = - 
1860
187
    (4)
- 
4
61
E = - 
62
61
    (5)

Multiply both sides of equation (5) by 12505
Divide both sides of equation (5) by 68, get the equation：
        - 
205
17
E = - 
6355
34
    (12)
, then subtract both sides of equation (12) from both sides of equation (4), get the equation：
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C - 
41
80
E = 0    (3)
 
6100
187
D = 
66185
374
    (4)
- 
4
61
E = - 
62
61
    (5)

Multiply both sides of equation (5) by 2501
Divide both sides of equation (5) by 320, get the equation：
        - 
41
80
E = - 
1271
160
    (13)
, then subtract both sides of equation (13) from both sides of equation (3), get the equation：
 110A -10D = -310    (1)
 425B -400C -25D = 310    (2)
 C = 
1271
160
    (3)
 
6100
187
D = 
66185
374
    (4)
- 
4
61
E = - 
62
61
    (5)

Multiply both sides of equation (4) by 187
Divide both sides of equation (4) by 244, get the equation：
         25D = 
66185
488
    (14)
, then add the two sides of equation (14) to both sides of equation (2), get the equation：
 110A -10D = -310    (1)
 425B -400C = 
217465
488
    (2)
 C = 
1271
160
    (3)
 
6100
187
D = 
66185
374
    (4)
 E = 
31
2
    (5)

Multiply both sides of equation (4) by 187
Divide both sides of equation (4) by 610, get the equation：
         10D = 
13237
244
    (15)
, then add the two sides of equation (15) to both sides of equation (1), get the equation：
 110A = - 
62403
244
    (1)
 425B -400C = 
217465
488
    (2)
 C = 
1271
160
    (3)
 
6100
187
D = 
66185
374
    (4)
 E = 
31
2
    (5)

Multiply both sides of equation (3) by 400, get the equation：
         400C = 
6355
2
    (16)
, then add the two sides of equation (16) to both sides of equation (2), get the equation：
 110A = - 
62403
244
    (1)
 425B = 
1768085
488
    (2)
 C = 
1271
160
    (3)
 D = 
13237
2440
    (4)
 E = 
31
2
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = - 
5673
2440
    (1)
 B = 
20801
2440
    (2)
 C = 
1271
160
    (3)
 D = 
13237
2440
    (4)
 E = 
31
2
    (5)


Therefore, the solution of the equation set is:
A = - 
5673
2440
B = 
20801
2440
C = 
1271
160
D = 
13237
2440
E = 
31
2


Convert the solution of the equation set to decimals:
A = -2.325000
B = 8.525000
C = 7.943750
D = 5.425000
E = 15.500000

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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