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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
x + 
7
25
y + 
7
25
z = 0    (1)
 x + y + z = 1    (2)
 
32
25
x + 
7
25
y - 
7
25
z = 0    (3)
Question solving process:

Multiply both sides of equation (1) by 125
Divide the two sides of equation (1) by 162, the equation can be obtained:
        -1x + 
35
162
y + 
35
162
z = 0    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
- 
162
125
x + 
7
25
y + 
7
25
z = 0    (1)
 
197
162
y + 
197
162
z = 1    (2)
 
32
25
x + 
7
25
y - 
7
25
z = 0    (3)

Multiply both sides of equation (1) by 80
Divide the two sides of equation (1) by 81, the equation can be obtained:
        - 
32
25
x + 
112
405
y + 
112
405
z = 0    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
- 
162
125
x + 
7
25
y + 
7
25
z = 0    (1)
 
197
162
y + 
197
162
z = 1    (2)
 
1127
2025
y - 
7
2025
z = 0    (3)

Multiply both sides of equation (2) by 2254
Divide the two sides of equation (2) by 4925, the equation can be obtained:
         
1127
2025
y + 
1127
2025
z = 
2254
4925
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
- 
162
125
x + 
7
25
y + 
7
25
z = 0    (1)
 
197
162
y + 
197
162
z = 1    (2)
- 
14
25
z = - 
2254
4925
    (3)

Multiply both sides of equation (3) by 4925
Divide both sides of equation (3) by 2268, get the equation：
        - 
197
162
z = - 
31717
31914
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
- 
162
125
x + 
7
25
y + 
7
25
z = 0    (1)
 
197
162
y = 
197
31914
    (2)
- 
14
25
z = - 
2254
4925
    (3)

Divide both sides of equation (3) by 2, get the equation：
        - 
7
25
z = - 
1127
4925
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
- 
162
125
x + 
7
25
y = - 
1127
4925
    (1)
 
197
162
y = 
197
31914
    (2)
- 
14
25
z = - 
2254
4925
    (3)

Multiply both sides of equation (2) by 1134
Divide both sides of equation (2) by 4925, get the equation：
         
1379
4925
y = 
1379
970225
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
- 
162
125
x = - 
1134
4925
    (1)
 
197
162
y = 
197
31914
    (2)
 z = 
161
197
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
35
197
    (1)
 y = 
197
38809
    (2)
 z = 
161
197
    (3)


Therefore, the solution of the equation set is:
x = 
35
197
y = 
197
38809
z = 
161
197


Convert the solution of the equation set to decimals:
x = 0.177665
y = 0.005076
z = 0.817259

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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