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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:
 C + D = 2    (1)
-3B + 
213
125
C + 2E = 6    (2)
-2A + 
101
250
C + 2D + E = 1    (3)
-1B + 
101
250
C = 0    (4)
 
2
5
A -1D = 0    (5)
Question solving process:

交After the exchange of equation (1) and equation (3)， the equation system becomes:
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
-1B + 
101
250
C = 0    (4)
 
2
5
A -1D = 0    (5)

Divide the two sides of equation (1) by 5, the equation can be obtained:
        - 
2
5
A + 
101
1250
C + 
2
5
D + 
1
5
E = 
1
5
    (6)
, then add the two sides of equation (6) to both sides of equation (5), the equations are reduced to:
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
-1B + 
101
250
C = 0    (4)
 
101
1250
C - 
3
5
D + 
1
5
E = 
1
5
    (5)

Divide the two sides of equation (2) by 3, the equation can be obtained:
        -1B + 
71
125
C + 
2
3
E = 2    (7)
, then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
- 
41
250
C - 
2
3
E = -2    (4)
 
101
1250
C - 
3
5
D + 
1
5
E = 
1
5
    (5)

Multiply both sides of equation (3) by 41
Divide the two sides of equation (3) by 250, the equation can be obtained:
         
41
250
C + 
41
250
D = 
41
125
    (8)
, then add the two sides of equation (8) to both sides of equation (4), the equations are reduced to:
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
41
250
D - 
2
3
E = - 
209
125
    (4)
 
101
1250
C - 
3
5
D + 
1
5
E = 
1
5
    (5)

Multiply both sides of equation (3) by 101
Divide the two sides of equation (3) by 1250, the equation can be obtained:
         
101
1250
C + 
101
1250
D = 
101
625
    (9)
, then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
41
250
D - 
2
3
E = - 
209
125
    (4)
- 
851
1250
D + 
1
5
E = 
24
625
    (5)

Multiply both sides of equation (4) by 851
Divide the two sides of equation (4) by 205, the equation can be obtained:
         
851
1250
D - 
1702
615
E = - 
177859
25625
    (10)
, then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
41
250
D - 
2
3
E = - 
209
125
    (4)
- 
1579
615
E = - 
283
41
    (5)

Multiply both sides of equation (5) by 410
Divide both sides of equation (5) by 1579, get the equation：
        - 
3158
4737
E = - 
2830
1579
    (11)
, then subtract both sides of equation (11) from both sides of equation (4), get the equation：
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
41
250
D = 
23739
197375
    (4)
- 
1579
615
E = - 
283
41
    (5)

Multiply both sides of equation (5) by 1230
Divide both sides of equation (5) by 1579, get the equation：
        - 
3158
1579
E = - 
8490
1579
    (12)
, then add the two sides of equation (12) to both sides of equation (2), get the equation：
-2A + 
101
250
C + 2D + E = 1    (1)
-3B + 
213
125
C = 
984
1579
    (2)
 C + D = 2    (3)
 
41
250
D = 
23739
197375
    (4)
- 
1579
615
E = - 
283
41
    (5)

Multiply both sides of equation (5) by 615
Divide both sides of equation (5) by 1579, get the equation：
        - 
1579
1579
E = - 
4245
1579
    (13)
, then add the two sides of equation (13) to both sides of equation (1), get the equation：
-2A + 
101
250
C + 2D = - 
2666
1579
    (1)
-3B + 
213
125
C = 
984
1579
    (2)
 C + D = 2    (3)
 
41
250
D = 
23739
197375
    (4)
- 
1579
615
E = - 
283
41
    (5)

Multiply both sides of equation (4) by 250
Divide both sides of equation (4) by 41, get the equation：
         D = 
1158
1579
    (14)
, then subtract both sides of equation (14) from both sides of equation (3), get the equation：
-2A + 
101
250
C + 2D = - 
2666
1579
    (1)
-3B + 
213
125
C = 
984
1579
    (2)
 C = 
2000
1579
    (3)
 
41
250
D = 
23739
197375
    (4)
 E = 
4245
1579
    (5)

Multiply both sides of equation (4) by 500
Divide both sides of equation (4) by 41, get the equation：
         2D = 
2316
1579
    (15)
, then subtract both sides of equation (15) from both sides of equation (1), get the equation：
-2A + 
101
250
C = - 
4982
1579
    (1)
-3B + 
213
125
C = 
984
1579
    (2)
 C = 
2000
1579
    (3)
 
41
250
D = 
23739
197375
    (4)
 E = 
4245
1579
    (5)

Multiply both sides of equation (3) by 213
Divide both sides of equation (3) by 125, get the equation：
         
213
125
C = 
3408
1579
    (16)
, then subtract both sides of equation (16) from both sides of equation (2), get the equation：
-2A + 
101
250
C = - 
4982
1579
    (1)
-3B = - 
2424
1579
    (2)
 C = 
2000
1579
    (3)
 D = 
1158
1579
    (4)
 E = 
4245
1579
    (5)

Multiply both sides of equation (3) by 101
Divide both sides of equation (3) by 250, get the equation：
         
101
250
C = 
808
1579
    (17)
, then subtract both sides of equation (17) from both sides of equation (1), get the equation：
-2A = - 
5790
1579
    (1)
-3B = - 
2424
1579
    (2)
 C = 
2000
1579
    (3)
 D = 
1158
1579
    (4)
 E = 
4245
1579
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = 
2895
1579
    (1)
 B = 
808
1579
    (2)
 C = 
2000
1579
    (3)
 D = 
1158
1579
    (4)
 E = 
4245
1579
    (5)


Therefore, the solution of the equation set is:
A = 
2895
1579
B = 
808
1579
C = 
2000
1579
D = 
1158
1579
E = 
4245
1579


Convert the solution of the equation set to decimals:
A = 1.833439
B = 0.511716
C = 1.266624
D = 0.733376
E = 2.688410

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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