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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:
- 
33
50
A = 0    (1)
 C + D = 2    (2)
-3B + 
213
125
C + 2E = 6    (3)
-2A + 
88
125
C + 2D + E = 1    (4)
 B - 
88
125
C = 0    (5)
Question solving process:

Multiply both sides of equation (1) by 100
Divide the two sides of equation (1) by 33, the equation can be obtained:
        -2A = 0    (6)
, then subtract both sides of equation (6) from both sides of equation (4), the equations are reduced to:
- 
33
50
A = 0    (1)
 C + D = 2    (2)
-3B + 
213
125
C + 2E = 6    (3)
 
88
125
C + 2D + E = 1    (4)
 B - 
88
125
C = 0    (5)

交After the exchange of equation (2) and equation (3)， the equation system becomes:
- 
33
50
A = 0    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
88
125
C + 2D + E = 1    (4)
 B - 
88
125
C = 0    (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 add the two sides of equation (7) to both sides of equation (5), the equations are reduced to:
- 
33
50
A = 0    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
88
125
C + 2D + E = 1    (4)
- 
17
125
C + 
2
3
E = 2    (5)

Multiply both sides of equation (3) by 88
Divide the two sides of equation (3) by 125, the equation can be obtained:
         
88
125
C + 
88
125
D = 
176
125
    (8)
, then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
- 
33
50
A = 0    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
162
125
D + E = - 
51
125
    (4)
- 
17
125
C + 
2
3
E = 2    (5)

Multiply both sides of equation (3) by 17
Divide the two sides of equation (3) by 125, the equation can be obtained:
         
17
125
C + 
17
125
D = 
34
125
    (9)
, then add the two sides of equation (9) to both sides of equation (5), the equations are reduced to:
- 
33
50
A = 0    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
162
125
D + E = - 
51
125
    (4)
 
17
125
D + 
2
3
E = 
284
125
    (5)

Multiply both sides of equation (4) by 17
Divide the two sides of equation (4) by 162, the equation can be obtained:
         
17
125
D + 
17
162
E = - 
289
6750
    (10)
, then subtract both sides of equation (10) from both sides of equation (5), the equations are reduced to:
- 
33
50
A = 0    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
162
125
D + E = - 
51
125
    (4)
 
91
162
E = 
125
54
    (5)

Multiply both sides of equation (5) by 162
Divide both sides of equation (5) by 91, get the equation：
         E = 
375
91
    (11)
, then subtract both sides of equation (11) from both sides of equation (4), get the equation：
- 
33
50
A = 0    (1)
-3B + 
213
125
C + 2E = 6    (2)
 C + D = 2    (3)
 
162
125
D = - 
51516
11375
    (4)
 
91
162
E = 
125
54
    (5)

Multiply both sides of equation (5) by 324
Divide both sides of equation (5) by 91, get the equation：
         2E = 
750
91
    (12)
, then subtract both sides of equation (12) from both sides of equation (2), get the equation：
- 
33
50
A = 0    (1)
-3B + 
213
125
C = - 
204
91
    (2)
 C + D = 2    (3)
 
162
125
D = - 
51516
11375
    (4)
 
91
162
E = 
125
54
    (5)

Multiply both sides of equation (4) by 125
Divide both sides of equation (4) by 162, get the equation：
         D = - 
318
91
    (13)
, then subtract both sides of equation (13) from both sides of equation (3), get the equation：
- 
33
50
A = 0    (1)
-3B + 
213
125
C = - 
204
91
    (2)
 C = 
500
91
    (3)
 
162
125
D = - 
51516
11375
    (4)
 E = 
375
91
    (5)

Multiply both sides of equation (3) by 213
Divide both sides of equation (3) by 125, get the equation：
         
213
125
C = 
852
91
    (14)
, then subtract both sides of equation (14) from both sides of equation (2), get the equation：
- 
33
50
A = 0    (1)
-3B = - 
1056
91
    (2)
 C = 
500
91
    (3)
 D = - 
318
91
    (4)
 E = 
375
91
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = 0    (1)
 B = 
352
91
    (2)
 C = 
500
91
    (3)
 D = - 
318
91
    (4)
 E = 
375
91
    (5)


Therefore, the solution of the equation set is:
A = 0
B = 
352
91
C = 
500
91
D = - 
318
91
E = 
375
91


Convert the solution of the equation set to decimals:
A = 0
B = 3.868132
C = 5.494505
D = -3.494505
E = 4.120879

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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