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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 = -4    (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 = -4    (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 = -4    (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 = -4    (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)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
193
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)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
193
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)
- 
79
100
B - 
57
100
C - 
107
100
D - 
107
100
E = - 
193
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
    (8)
, then subtract both sides of equation (8) 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)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
7249
7200
    (4)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
14449
7200
    (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)
- 
77
3600
C + 
749
7200
D - 
7151
7200
E = - 
14449
7200
    (5)

Subtract both sides of equation (3) 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)
0 = -1    (5)

由第(5)方程式可以看出，该方程组无解。

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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