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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:
- 
162
125
A + 
7
25
B + 
7
25
C = 0    (1)
 
7
25
A - 
7
25
B + 
7
25
C = 0    (2)
 
32
25
A + 
7
25
B - 
7
25
C = 0    (3)
 A + B + C = 1    (4)
Question solving process:

Multiply both sides of equation (1) by 35
Divide the two sides of equation (1) by 162, the equation can be obtained:
        - 
7
25
A + 
49
810
B + 
49
810
C = 0    (5)
, then add the two sides of equation (5) to both sides of equation (2), the equations are reduced to:
- 
162
125
A + 
7
25
B + 
7
25
C = 0    (1)
- 
889
4050
B + 
1379
4050
C = 0    (2)
 
32
25
A + 
7
25
B - 
7
25
C = 0    (3)
 A + B + C = 1    (4)

Multiply both sides of equation (1) by 80
Divide the two sides of equation (1) by 81, the equation can be obtained:
        - 
32
25
A + 
112
405
B + 
112
405
C = 0    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
- 
162
125
A + 
7
25
B + 
7
25
C = 0    (1)
- 
889
4050
B + 
1379
4050
C = 0    (2)
 
1127
2025
B - 
7
2025
C = 0    (3)
 A + B + C = 1    (4)

Multiply both sides of equation (1) by 125
Divide the two sides of equation (1) by 162, the equation can be obtained:
        -1A + 
35
162
B + 
35
162
C = 0    (7)
, then add the two sides of equation (7) to both sides of equation (4), the equations are reduced to:
- 
162
125
A + 
7
25
B + 
7
25
C = 0    (1)
- 
889
4050
B + 
1379
4050
C = 0    (2)
 
1127
2025
B - 
7
2025
C = 0    (3)
 
197
162
B + 
197
162
C = 1    (4)

Multiply both sides of equation (2) by 322
Divide the two sides of equation (2) by 127, the equation can be obtained:
        - 
1127
2025
B + 
222019
257175
C = 0    (8)
, then add the two sides of equation (8) to both sides of equation (3), the equations are reduced to:
- 
162
125
A + 
7
25
B + 
7
25
C = 0    (1)
- 
889
4050
B + 
1379
4050
C = 0    (2)
 
546
635
C = 0    (3)
 
197
162
B + 
197
162
C = 1    (4)

Multiply both sides of equation (2) by 4925
Divide the two sides of equation (2) by 889, the equation can be obtained:
        - 
197
162
B + 
38809
20574
C = 0    (9)
, then add the two sides of equation (9) to both sides of equation (4), the equations are reduced to:
- 
162
125
A + 
7
25
B + 
7
25
C = 0    (1)
- 
889
4050
B + 
1379
4050
C = 0    (2)
 
546
635
C = 0    (3)
 
394
127
C = 
127
127
    (4)

Multiply both sides of equation (3) by 125095
Divide the two sides of equation (3) by 34671, the equation can be obtained:
         
394
127
C = 0    (10)
, then subtract both sides of equation (10) from both sides of equation (4), the equations are reduced to:
- 
162
125
A + 
7
25
B + 
7
25
C = 0    (1)
- 
889
4050
B + 
1379
4050
C = 0    (2)
 
546
635
C = 0    (3)
0 = 
1948746977
1948746977
    (4)

由第(4)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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