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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:
 2x + 
3
2
y + z = 400    (1)
 
17
20
x + 
17
10
y + 
17
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 40, the equation can be obtained:
         
17
20
x + 
51
80
y + 
17
40
z = 170    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 2x + 
3
2
y + z = 400    (1)
 
17
16
y + 
119
40
z = 230    (2)
 x = 92    (3)

Divide the two sides of equation (1) by 2, the equation can be obtained:
         x + 
3
4
y + 
1
2
z = 200    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 2x + 
3
2
y + z = 400    (1)
 
17
16
y + 
119
40
z = 230    (2)
- 
3
4
y - 
1
2
z = -108    (3)

Multiply both sides of equation (2) by 12
Divide the two sides of equation (2) by 17, the equation can be obtained:
         
3
4
y + 
21
10
z = 
2760
17
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 2x + 
3
2
y + z = 400    (1)
 
17
16
y + 
119
40
z = 230    (2)
 
8
5
z = 
924
17
    (3)

Multiply both sides of equation (3) by 119
Divide both sides of equation (3) by 64, get the equation：
         
119
40
z = 
1617
16
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 2x + 
3
2
y + z = 400    (1)
 
17
16
y = 
2063
16
    (2)
 
8
5
z = 
924
17
    (3)

Multiply both sides of equation (3) by 5
Divide both sides of equation (3) by 8, get the equation：
         z = 
1155
34
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 2x + 
3
2
y = 
12445
34
    (1)
 
17
16
y = 
2063
16
    (2)
 
8
5
z = 
924
17
    (3)

Multiply both sides of equation (2) by 24
Divide both sides of equation (2) by 17, get the equation：
         
3
2
y = 
6189
34
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 2x = 184    (1)
 
17
16
y = 
2063
16
    (2)
 z = 
1155
34
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 92    (1)
 y = 
2063
17
    (2)
 z = 
1155
34
    (3)


Therefore, the solution of the equation set is:
x = 92
y = 
2063
17
z = 
1155
34


Convert the solution of the equation set to decimals:
x = 92
y = 121.352941
z = 33.970588

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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