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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:
 
41
5
x + 
27
10
y = 
31509
20
    (1)
 
26
5
x - 
11
5
z = 
3151
5
    (2)
 
26
5
y + 
41
5
z = 
6476
5
    (3)
Question solving process:

Multiply both sides of equation (1) by 26
Divide the two sides of equation (1) by 41, the equation can be obtained:
         
26
5
x + 
351
205
y = 
409617
410
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 
41
5
x + 
27
10
y = 
31509
20
    (1)
- 
351
205
y - 
451
205
z = - 
30247
82
    (2)
 
26
5
y + 
41
5
z = 
6476
5
    (3)

Multiply both sides of equation (2) by 82
Divide the two sides of equation (2) by 27, the equation can be obtained:
        - 
26
5
y - 
902
135
z = - 
30247
27
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 
41
5
x + 
27
10
y = 
31509
20
    (1)
- 
351
205
y - 
451
205
z = - 
30247
82
    (2)
 
41
27
z = 
23617
135
    (3)

Multiply both sides of equation (3) by 297
Divide both sides of equation (3) by 205, get the equation：
         
11
5
z = 
259787
1025
    (6)
, then add the two sides of equation (6) to both sides of equation (2), get the equation：
 
41
5
x + 
27
10
y = 
31509
20
    (1)
- 
351
205
y = - 
236601
2050
    (2)
 
41
27
z = 
23617
135
    (3)

Multiply both sides of equation (2) by 41
Divide both sides of equation (2) by 26, get the equation：
        - 
27
10
y = - 
236601
1300
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 
41
5
x = 
452871
325
    (1)
- 
351
205
y = - 
236601
2050
    (2)
 z = 
23617
205
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
452871
2665
    (1)
 y = 
8763
130
    (2)
 z = 
23617
205
    (3)


Therefore, the solution of the equation set is:
x = 
452871
2665
y = 
8763
130
z = 
23617
205


Convert the solution of the equation set to decimals:
x = 169.932833
y = 67.407692
z = 115.204878

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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