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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:
 
53
50
A + 
7
5
B + C = 
373
10
    (1)
 A + B + D = 26    (2)
 A + E = 23    (3)
0 = 0    (4)
0 = 0    (5)
Question solving process:

Multiply both sides of equation (1) by 50
Divide the two sides of equation (1) by 53, the equation can be obtained:
         A + 
70
53
B + 
50
53
C = 
1865
53
    (6)
, then subtract both sides of equation (6) from both sides of equation (2), the equations are reduced to:
 
53
50
A + 
7
5
B + C = 
373
10
    (1)
- 
17
53
B - 
50
53
C + D = - 
487
53
    (2)
 A + E = 23    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (1) by 50
Divide the two sides of equation (1) by 53, the equation can be obtained:
         A + 
70
53
B + 
50
53
C = 
1865
53
    (7)
, then subtract both sides of equation (7) from both sides of equation (3), the equations are reduced to:
 
53
50
A + 
7
5
B + C = 
373
10
    (1)
- 
17
53
B - 
50
53
C + D = - 
487
53
    (2)
- 
70
53
B - 
50
53
C + E = - 
646
53
    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (2) by 70
Divide the two sides of equation (2) by 17, the equation can be obtained:
        - 
70
53
B - 
3500
901
C + 
70
17
D = - 
34090
901
    (8)
, then subtract both sides of equation (8) from both sides of equation (3), the equations are reduced to:
 
53
50
A + 
7
5
B + C = 
373
10
    (1)
- 
17
53
B - 
50
53
C + D = - 
487
53
    (2)
 
2650
901
C - 
3710
901
D + E = 
23108
901
    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (3) by 17
Divide both sides of equation (3) by 53, get the equation：
         
50
53
C - 
70
53
D + 
17
53
E = 
436
53
    (9)
, then add the two sides of equation (9) to both sides of equation (2), get the equation：
 
53
50
A + 
7
5
B + C = 
373
10
    (1)
- 
17
53
B - 
17
53
D + 
17
53
E = - 
51
53
    (2)
 
2650
901
C - 
3710
901
D + E = 
23108
901
    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (3) by 901
Divide both sides of equation (3) by 2650, get the equation：
         C - 
371
265
D + 
901
2650
E = 
11554
1325
    (10)
, then subtract both sides of equation (10) from both sides of equation (1), get the equation：
 
53
50
A + 
7
5
B + 
371
265
D - 
901
2650
E = 
75737
2650
    (1)
- 
17
53
B - 
17
53
D + 
17
53
E = - 
51
53
    (2)
 
2650
901
C - 
3710
901
D + E = 
23108
901
    (3)
0 = 0    (4)
0 = 0    (5)

Multiply both sides of equation (2) by 371
Divide both sides of equation (2) by 85, get the equation：
        - 
7
5
B - 
7
5
D + 
7
5
E = - 
21
5
    (11)
, then add the two sides of equation (11) to both sides of equation (1), get the equation：
 
53
50
A + 
2809
2650
E = 
64607
2650
    (1)
- 
17
53
B - 
17
53
D + 
17
53
E = - 
51
53
    (2)
 C - 
371
265
D + 
901
2650
E = 
11554
1325
    (3)
0 = 0    (4)
0 = 0    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A + E = 23    (1)
 B + D -1E = 3    (2)
 C - 
371
265
D + 
901
2650
E = 
11554
1325
    (3)
0 = 0    (4)
0 = 0    (5)


Therefore, the solution of the equation set is:
A = 23 - 1E
B = 3 - 1D + 1E
C = 
11554
1325
 + 
371
265
D - 
901
2650
E


Convert the solution of the equation set to decimals:
A = 23 - 1E
B = 3 - 1D + 1E
C = 8.720000 + 
371
265
D - 
901
2650
E

Where:  D, E are arbitrary constants.
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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