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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 - 
5
2
B -15C = 0    (1)
- 
5
2
A + 
25
2
B -2C = -14    (2)
-15A -2B + 17C + E = 0    (3)
 C + 
7
5
D = 0    (4)
 A + D = 0    (5)
Question solving process:

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 - 
25
86
B - 
75
43
C = 0    (6)
, then add the two sides of equation (6) to both sides of equation (2), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
-15A -2B + 17C + E = 0    (3)
 C + 
7
5
D = 0    (4)
 A + D = 0    (5)

Multiply both sides of equation (1) by 30
Divide the two sides of equation (1) by 43, the equation can be obtained:
         15A - 
75
43
B - 
450
43
C = 0    (7)
, then add the two sides of equation (7) to both sides of equation (3), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
- 
161
43
B + 
281
43
C + E = 0    (3)
 C + 
7
5
D = 0    (4)
 A + D = 0    (5)

Multiply both sides of equation (1) by 2
Divide the two sides of equation (1) by 43, the equation can be obtained:
         A - 
5
43
B - 
30
43
C = 0    (8)
, then subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
- 
161
43
B + 
281
43
C + E = 0    (3)
 C + 
7
5
D = 0    (4)
 
5
43
B + 
30
43
C + D = 0    (5)

Multiply both sides of equation (2) by 23
Divide the two sides of equation (2) by 75, the equation can be obtained:
         
161
43
B - 
3703
3225
C = - 
322
75
    (9)
, then add the two sides of equation (9) to both sides of equation (3), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
 
404
75
C + E = - 
322
75
    (3)
 C + 
7
5
D = 0    (4)
 
5
43
B + 
30
43
C + D = 0    (5)

Divide the two sides of equation (2) by 105, the equation can be obtained:
         
5
43
B - 
23
645
C = - 
2
15
    (10)
, then subtract both sides of equation (10) from both sides of equation (5), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
 
404
75
C + E = - 
322
75
    (3)
 C + 
7
5
D = 0    (4)
 
473
645
C + D = 
2
15
    (5)

Multiply both sides of equation (3) by 75
Divide the two sides of equation (3) by 404, the equation can be obtained:
         C + 
75
404
E = - 
161
202
    (11)
, then subtract both sides of equation (11) from both sides of equation (4), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
 
404
75
C + E = - 
322
75
    (3)
 
707
505
D - 
75
404
E = 
161
202
    (4)
 
473
645
C + D = 
2
15
    (5)

Multiply both sides of equation (3) by 2365
Divide the two sides of equation (3) by 17372, the equation can be obtained:
         
1111
1515
C + 
55
404
E = - 
1771
3030
    (12)
, then subtract both sides of equation (12) from both sides of equation (5), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
 
404
75
C + E = - 
322
75
    (3)
 
707
505
D - 
75
404
E = 
161
202
    (4)
 D - 
55
404
E = 
145
202
    (5)

Multiply both sides of equation (4) by 51005
Divide the two sides of equation (4) by 71407, the equation can be obtained:
         D - 
375
2828
E = 
115
202
    (13)
, then subtract both sides of equation (13) from both sides of equation (5), the equations are reduced to:
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
 
404
75
C + E = - 
322
75
    (3)
 
707
505
D - 
75
404
E = 
161
202
    (4)
- 
505
142814
E = 
1515
10201
    (5)

Multiply both sides of equation (5) by 1071105
Divide both sides of equation (5) by 20402, get the equation：
        - 
7575
40804
E = 
1575
202
    (14)
, then subtract both sides of equation (14) from both sides of equation (4), get the equation：
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
 
404
75
C + E = - 
322
75
    (3)
 
707
505
D = - 
707
101
    (4)
- 
505
142814
E = 
1515
10201
    (5)

Multiply both sides of equation (5) by 142814
Divide both sides of equation (5) by 505, get the equation：
        - 
101
101
E = 
4242
101
    (15)
, then add the two sides of equation (15) to both sides of equation (3), get the equation：
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B - 
161
43
C = -14    (2)
 
404
75
C = 
285628
7575
    (3)
 
707
505
D = - 
707
101
    (4)
- 
505
142814
E = 
1515
10201
    (5)

Multiply both sides of equation (3) by 12075
Divide both sides of equation (3) by 17372, get the equation：
         
16261
4343
C = 
113827
4343
    (16)
, then add the two sides of equation (16) to both sides of equation (2), get the equation：
 
43
2
A - 
5
2
B -15C = 0    (1)
 
525
43
B = 
53025
4343
    (2)
 
404
75
C = 
285628
7575
    (3)
 D = - 
505
101
    (4)
 E = - 
4242
101
    (5)

Multiply both sides of equation (3) by 1125
Divide both sides of equation (3) by 404, get the equation：
         
1515
101
C = 
10605
101
    (17)
, then add the two sides of equation (17) to both sides of equation (1), get the equation：
 
43
2
A - 
5
2
B = 
10605
101
    (1)
 
525
43
B = 
53025
4343
    (2)
 
404
75
C = 
285628
7575
    (3)
 D = - 
505
101
    (4)
 E = - 
4242
101
    (5)

Multiply both sides of equation (2) by 43
Divide both sides of equation (2) by 210, get the equation：
         
5
2
B = 
505
202
    (18)
, then add the two sides of equation (18) to both sides of equation (1), get the equation：
 
43
2
A = 
21715
202
    (1)
 
525
43
B = 
53025
4343
    (2)
 C = 
707
101
    (3)
 D = - 
505
101
    (4)
 E = - 
4242
101
    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = 
505
101
    (1)
 B = 
101
101
    (2)
 C = 
707
101
    (3)
 D = - 
505
101
    (4)
 E = - 
4242
101
    (5)


Therefore, the solution of the equation set is:
A = 
505
101
B = 
101
101
C = 
707
101
D = - 
505
101
E = - 
4242
101


Convert the solution of the equation set to decimals:
A = 5.000000
B = 1.000000
C = 7.000000
D = -5.000000
E = -42.000000

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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