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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 + y + 
1
2
z = 400    (1)
 
17
20
x + 
17
10
y + 
37
10
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
36
y + 
17
72
z = 
1700
9
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 
9
5
x + y + 
1
2
z = 400    (1)
 
221
180
y + 
1247
360
z = 
1900
9
    (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 + 
5
9
y + 
5
18
z = 
2000
9
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 
9
5
x + y + 
1
2
z = 400    (1)
 
221
180
y + 
1247
360
z = 
1900
9
    (2)
- 
5
9
y - 
5
18
z = - 
1172
9
    (3)

Multiply both sides of equation (2) by 100
Divide the two sides of equation (2) by 221, the equation can be obtained:
         
5
9
y + 
6235
3978
z = 
190000
1989
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 
9
5
x + y + 
1
2
z = 400    (1)
 
221
180
y + 
1247
360
z = 
1900
9
    (2)
 
285
221
z = - 
7668
221
    (3)

Multiply both sides of equation (3) by 275587
Divide both sides of equation (3) by 102600, get the equation：
         
1247
360
z = - 
88537
950
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 
9
5
x + y + 
1
2
z = 400    (1)
 
221
180
y = 
2601833
8550
    (2)
 
285
221
z = - 
7668
221
    (3)

Multiply both sides of equation (3) by 221
Divide both sides of equation (3) by 570, get the equation：
         
1
2
z = - 
1278
95
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 
9
5
x + y = 
39278
95
    (1)
 
221
180
y = 
2601833
8550
    (2)
 
285
221
z = - 
7668
221
    (3)

Multiply both sides of equation (2) by 180
Divide both sides of equation (2) by 221, get the equation：
         y = 
23546
95
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 
9
5
x = 
828
5
    (1)
 
221
180
y = 
2601833
8550
    (2)
 z = - 
2556
95
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 92    (1)
 y = 
23546
95
    (2)
 z = - 
2556
95
    (3)


Therefore, the solution of the equation set is:
x = 92
y = 
23546
95
z = - 
2556
95


Convert the solution of the equation set to decimals:
x = 92
y = 247.852632
z = -26.905263

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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