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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:
 
9
5
x + 
9
5
y + 
9
5
z = 0    (1)
 
17
20
x + 
9
5
y + 
19
5
z = 400    (2)
 x = 92    (3)
Question solving process:

Multiply both sides of equation (1) by 17
Divide the two sides of equation (1) by 36, the equation can be obtained:
         
17
20
x + 
17
20
y + 
17
20
z = 0    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 
9
5
x + 
9
5
y + 
9
5
z = 0    (1)
 
19
20
y + 
59
20
z = 400    (2)
 x = 92    (3)

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 9, the equation can be obtained:
         x + y + z = 0    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 
9
5
x + 
9
5
y + 
9
5
z = 0    (1)
 
19
20
y + 
59
20
z = 400    (2)
-1y -1z = 92    (3)

Multiply both sides of equation (2) by 20
Divide the two sides of equation (2) by 19, the equation can be obtained:
         y + 
59
19
z = 
8000
19
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 
9
5
x + 
9
5
y + 
9
5
z = 0    (1)
 
19
20
y + 
59
20
z = 400    (2)
 
40
19
z = 
9748
19
    (3)

Multiply both sides of equation (3) by 1121
Divide both sides of equation (3) by 800, get the equation：
         
59
20
z = 
143783
200
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 
9
5
x + 
9
5
y + 
9
5
z = 0    (1)
 
19
20
y = - 
63783
200
    (2)
 
40
19
z = 
9748
19
    (3)

Multiply both sides of equation (3) by 171
Divide both sides of equation (3) by 200, get the equation：
         
9
5
z = 
21933
50
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 
9
5
x + 
9
5
y = - 
21933
50
    (1)
 
19
20
y = - 
63783
200
    (2)
 
40
19
z = 
9748
19
    (3)

Multiply both sides of equation (2) by 36
Divide both sides of equation (2) by 19, get the equation：
         
9
5
y = - 
30213
50
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 
9
5
x = 
828
5
    (1)
 
19
20
y = - 
63783
200
    (2)
 z = 
2437
10
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 92    (1)
 y = - 
3357
10
    (2)
 z = 
2437
10
    (3)


Therefore, the solution of the equation set is:
x = 92
y = - 
3357
10
z = 
2437
10


Convert the solution of the equation set to decimals:
x = 92
y = -335.700000
z = 243.700000

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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