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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:
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
- 
35
2
A + 
51
2
B + 
21
2
C + D = -14    (2)
- 
5
2
A + 
21
2
B + 
25
2
C = -14    (3)
-1A + 
3
2
B = 0    (4)
Question solving process:

Multiply both sides of equation (1) by 35
Divide the two sides of equation (1) by 43, the equation can be obtained:
         
35
2
A - 
1225
86
B - 
175
86
C = 0    (5)
, then add the two sides of equation (5) to both sides of equation (2), the equations are reduced to:
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C + D = -14    (2)
- 
5
2
A + 
21
2
B + 
25
2
C = -14    (3)
-1A + 
3
2
B = 0    (4)

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 43, the equation can be obtained:
         
5
2
A - 
175
86
B - 
25
86
C = 0    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C + D = -14    (2)
 
364
43
B + 
525
43
C = -14    (3)
-1A + 
3
2
B = 0    (4)

Multiply both sides of equation (1) by 2
Divide the two sides of equation (1) by 43, the equation can be obtained:
         A - 
35
43
B - 
5
43
C = 0    (7)
, then add the two sides of equation (7) to both sides of equation (4), the equations are reduced to:
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C + D = -14    (2)
 
364
43
B + 
525
43
C = -14    (3)
 
59
86
B - 
5
43
C = 0    (4)

Multiply both sides of equation (2) by 91
Divide the two sides of equation (2) by 121, the equation can be obtained:
         
364
43
B + 
33124
5203
C + 
91
121
D = - 
1274
121
    (8)
, then subtract both sides of equation (8) from both sides of equation (3), the equations are reduced to:
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C + D = -14    (2)
 
707
121
C - 
91
121
D = - 
420
121
    (3)
 
59
86
B - 
5
43
C = 0    (4)

Multiply both sides of equation (2) by 59
Divide the two sides of equation (2) by 968, the equation can be obtained:
         
59
86
B + 
5369
10406
C + 
59
968
D = - 
413
484
    (9)
, then subtract both sides of equation (9) from both sides of equation (4), the equations are reduced to:
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C + D = -14    (2)
 
707
121
C - 
91
121
D = - 
420
121
    (3)
- 
153
242
C - 
59
968
D = 
413
484
    (4)

Multiply both sides of equation (3) by 153
Divide the two sides of equation (3) by 1414, the equation can be obtained:
         
153
242
C - 
1989
24442
D = - 
4590
12221
    (10)
, then add the two sides of equation (10) to both sides of equation (4), the equations are reduced to:
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C + D = -14    (2)
 
707
121
C - 
91
121
D = - 
420
121
    (3)
- 
115
808
D = 
193
404
    (4)

Multiply both sides of equation (4) by 73528
Divide both sides of equation (4) by 13915, get the equation：
        - 
9191
12221
D = 
35126
13915
    (11)
, then subtract both sides of equation (11) from both sides of equation (3), get the equation：
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C + D = -14    (2)
 
707
121
C = - 
83426
13915
    (3)
- 
115
808
D = 
193
404
    (4)

Multiply both sides of equation (4) by 808
Divide both sides of equation (4) by 115, get the equation：
        - 
101
101
D = 
386
115
    (12)
, then add the two sides of equation (12) to both sides of equation (2), get the equation：
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B + 
364
43
C = - 
1224
115
    (2)
 
707
121
C = - 
83426
13915
    (3)
- 
115
808
D = 
193
404
    (4)

Multiply both sides of equation (3) by 6292
Divide both sides of equation (3) by 4343, get the equation：
         
36764
4343
C = - 
42952
4945
    (13)
, then subtract both sides of equation (13) from both sides of equation (2), get the equation：
 
43
2
A - 
35
2
B - 
5
2
C = 0    (1)
 
484
43
B = - 
1936
989
    (2)
 
707
121
C = - 
83426
13915
    (3)
 D = - 
386
115
    (4)

Multiply both sides of equation (3) by 605
Divide both sides of equation (3) by 1414, get the equation：
         
505
202
C = - 
5959
2323
    (14)
, then add the two sides of equation (14) to both sides of equation (1), get the equation：
 
43
2
A - 
35
2
B = - 
5959
2323
    (1)
 
484
43
B = - 
1936
989
    (2)
 
707
121
C = - 
83426
13915
    (3)
 D = - 
386
115
    (4)

Multiply both sides of equation (2) by 1505
Divide both sides of equation (2) by 968, get the equation：
         
35
2
B = - 
3010
989
    (15)
, then add the two sides of equation (15) to both sides of equation (1), get the equation：
 
43
2
A = - 
13029
2323
    (1)
 
484
43
B = - 
1936
989
    (2)
 C = - 
118
115
    (3)
 D = - 
386
115
    (4)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = - 
606
2323
    (1)
 B = - 
4
23
    (2)
 C = - 
118
115
    (3)
 D = - 
386
115
    (4)


Therefore, the solution of the equation set is:
A = - 
606
2323
B = - 
4
23
C = - 
118
115
D = - 
386
115


Convert the solution of the equation set to decimals:
A = -0.260870
B = -0.173913
C = -1.026087
D = -3.356522

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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