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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 + 
4
5
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 40, the equation can be obtained:
         
17
20
x + 
51
80
y + 
17
50
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 + 
4
5
z = 400    (1)
 
17
16
y + 
84
25
z = 230    (2)
 x = 92    (3)

Divide the two sides of equation (1) by 2, the equation can be obtained:
         x + 
3
4
y + 
2
5
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 + 
4
5
z = 400    (1)
 
17
16
y + 
84
25
z = 230    (2)
- 
3
4
y - 
2
5
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 + 
1008
425
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 + 
4
5
z = 400    (1)
 
17
16
y + 
84
25
z = 230    (2)
 
838
425
z = 
924
17
    (3)

Multiply both sides of equation (3) by 714
Divide both sides of equation (3) by 419, get the equation：
         
35196
10475
z = 
38808
419
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 2x + 
3
2
y + 
4
5
z = 400    (1)
 
17
16
y = 
57562
419
    (2)
 
838
425
z = 
924
17
    (3)

Multiply both sides of equation (3) by 170
Divide both sides of equation (3) by 419, get the equation：
         
1676
2095
z = 
9240
419
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 2x + 
3
2
y = 
158360
419
    (1)
 
17
16
y = 
57562
419
    (2)
 
838
425
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 = 
81264
419
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
 2x = 
77096
419
    (1)
 
17
16
y = 
57562
419
    (2)
 z = 
11550
419
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
38548
419
    (1)
 y = 
54176
419
    (2)
 z = 
11550
419
    (3)


Therefore, the solution of the equation set is:
x = 
38548
419
y = 
54176
419
z = 
11550
419


Convert the solution of the equation set to decimals:
x = 92.000000
y = 129.298329
z = 27.565632

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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