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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:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
 A + 
7
100
B + 
7
100
C + E = -2    (2)
 A = -3    (3)
 A = -3    (4)
 A + B + D + E = -2    (5)
Question solving process:

Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
 A = -3    (3)
 A = -3    (4)
 A + B + D + E = -2    (5)

Subtract both sides of equation (1) from both sides of equation (3) ,the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
93
100
    (3)
 A = -3    (4)
 A + B + D + E = -2    (5)

Subtract both sides of equation (1) from both sides of equation (4) ,the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
93
100
    (3)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
93
100
    (4)
 A + B + D + E = -2    (5)

Subtract both sides of equation (1) from both sides of equation (5) ,the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
93
100
    (3)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
93
100
    (4)
 
21
100
B - 
57
100
C - 
7
100
D - 
7
100
E = 
7
100
    (5)

Multiply both sides of equation (2) by 79
Divide the two sides of equation (2) by 72, the equation can be obtained:
        - 
79
100
B - 
79
144
C - 
8453
7200
D - 
553
7200
E = 
553
7200
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (3)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
93
100
    (4)
 
21
100
B - 
57
100
C - 
7
100
D - 
7
100
E = 
7
100
    (5)

Multiply both sides of equation (2) by 79
Divide the two sides of equation (2) by 72, the equation can be obtained:
        - 
79
100
B - 
79
144
C - 
8453
7200
D - 
553
7200
E = 
553
7200
    (7)
, then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (3)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (4)
 
21
100
B - 
57
100
C - 
7
100
D - 
7
100
E = 
7
100
    (5)

Multiply both sides of equation (2) by 7
Divide the two sides of equation (2) by 24, the equation can be obtained:
        - 
21
100
B - 
7
48
C - 
749
2400
D - 
49
2400
E = 
49
2400
    (8)
, then add the two sides of equation (8) to both sides of equation (5), the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (3)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (4)
- 
859
1200
C - 
917
2400
D - 
217
2400
E = 
217
2400
    (5)

Subtract both sides of equation (3) from both sides of equation (4) ,the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (3)
0 = 0    (4)
- 
859
1200
C - 
917
2400
D - 
217
2400
E = 
217
2400
    (5)

Multiply both sides of equation (3) by 2577
Divide the two sides of equation (3) by 77, the equation can be obtained:
        - 
859
1200
C + 
91913
26400
D - 
6142709
184800
E = - 
566081
16800
    (9)
, then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (3)
0 = 0    (4)
- 
85
22
D + 
5105
154
E = 
473
14
    (5)

交After the exchange of equation (4) and equation (5)， the equation system becomes:
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (3)
- 
85
22
D + 
5105
154
E = 
473
14
    (4)
0 = 0    (5)

Multiply both sides of equation (4) by 8239
Divide both sides of equation (4) by 306000, get the equation：
        - 
749
7200
D + 
109247
122400
E = 
556721
612000
    (10)
, then add the two sides of equation (10) to both sides of equation (3), get the equation：
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
107
100
D - 
7
100
E = 
7
100
    (2)
- 
77
3600
C - 
77
765
E = - 
14861
153000
    (3)
- 
85
22
D + 
5105
154
E = 
473
14
    (4)
0 = 0    (5)

Multiply both sides of equation (4) by 1177
Divide both sides of equation (4) by 4250, get the equation：
        - 
107
100
D + 
109247
11900
E = 
556721
59500
    (11)
, then subtract both sides of equation (11) from both sides of equation (2), get the equation：
 A + 
79
100
B + 
57
100
C + 
107
100
D + 
107
100
E = - 
207
100
    (1)
- 
18
25
B - 
1
2
C - 
5504
595
E = - 
138139
14875
    (2)
- 
77
3600
C - 
77
765
E = - 
14861
153000
    (3)
- 
85
22
D + 
5105
154
E = 
473
14
    (4)
0 = 0    (5)

Multiply both sides of equation (4) by 1177
Divide both sides of equation (4) by 4250, get the equation：
        - 
107
100
D + 
109247
11900
E = 
556721
59500
    (12)
, then add the two sides of equation (12) to both sides of equation (1), get the equation：
 A + 
79
100
B + 
57
100
C + 
6099
595
E = 
108389
14875
    (1)
- 
18
25
B - 
1
2
C - 
5504
595
E = - 
138139
14875
    (2)
- 
77
3600
C - 
77
765
E = - 
14861
153000
    (3)
- 
85
22
D + 
5105
154
E = 
473
14
    (4)
0 = 0    (5)

Multiply both sides of equation (3) by 1800
Divide both sides of equation (3) by 77, get the equation：
        - 
1
2
C - 
40
17
E = - 
193
85
    (13)
, then subtract both sides of equation (13) from both sides of equation (2), get the equation：
 A + 
79
100
B + 
57
100
C + 
6099
595
E = 
108389
14875
    (1)
- 
18
25
B - 
4104
595
E = - 
104364
14875
    (2)
- 
77
3600
C - 
77
765
E = - 
14861
153000
    (3)
 D - 
1021
119
E = - 
5203
595
    (4)
0 = 0    (5)

Multiply both sides of equation (3) by 2052
Divide both sides of equation (3) by 77, get the equation：
        - 
57
100
C - 
228
85
E = - 
11001
4250
    (14)
, then add the two sides of equation (14) to both sides of equation (1), get the equation：
 A + 
79
100
B + 
4503
595
E = 
139771
29750
    (1)
- 
18
25
B - 
4104
595
E = - 
104364
14875
    (2)
- 
77
3600
C - 
77
765
E = - 
14861
153000
    (3)
 D - 
1021
119
E = - 
5203
595
    (4)
0 = 0    (5)

Multiply both sides of equation (2) by 79
Divide both sides of equation (2) by 72, get the equation：
        - 
79
100
B - 
4503
595
E = - 
229021
29750
    (15)
, then add the two sides of equation (15) to both sides of equation (1), get the equation：
 A = -3    (1)
- 
18
25
B - 
4104
595
E = - 
104364
14875
    (2)
 C + 
80
17
E = 
386
85
    (3)
 D - 
1021
119
E = - 
5203
595
    (4)
0 = 0    (5)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 A = -3    (1)
 B + 
1140
119
E = 
5798
595
    (2)
 C + 
80
17
E = 
386
85
    (3)
 D - 
1021
119
E = - 
5203
595
    (4)
0 = 0    (5)


Therefore, the solution of the equation set is:
A = -3
B = 
5798
595
 - 
1140
119
E
C = 
386
85
 - 
80
17
E
D = - 
5203
595
 + 
1021
119
E


Convert the solution of the equation set to decimals:
A = -3
B = 9.744538 - 
1140
119
E
C = 4.541176 - 
80
17
E
D = -8.744538 + 
1021
119
E

Where:  E are arbitrary constants.
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