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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:
 
43
2
x - 
5
2
y + 21z = 0    (1)
- 
5
2
x + 
25
2
y - 
14
5
z = -14    (2)
 x + 
14
5
y + 17z = 0    (3)
Question solving process:

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 43, the equation can be obtained:
         
5
2
x - 
25
86
y + 
105
43
z = 0    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 
43
2
x - 
5
2
y + 21z = 0    (1)
 
525
43
y - 
77
215
z = -14    (2)
 x + 
14
5
y + 17z = 0    (3)

Multiply both sides of equation (1) by 2
Divide the two sides of equation (1) by 43, the equation can be obtained:
         x - 
5
43
y + 
42
43
z = 0    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 
43
2
x - 
5
2
y + 21z = 0    (1)
 
525
43
y - 
77
215
z = -14    (2)
 
627
215
y + 
689
43
z = 0    (3)

Multiply both sides of equation (2) by 209
Divide the two sides of equation (2) by 875, the equation can be obtained:
         
627
215
y - 
2299
26875
z = - 
418
125
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 
43
2
x - 
5
2
y + 21z = 0    (1)
 
525
43
y - 
77
215
z = -14    (2)
 
10068
625
z = 
418
125
    (3)

Multiply both sides of equation (3) by 9625
Divide both sides of equation (3) by 432924, get the equation：
         
64603
180385
z = 
16093
216462
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 
43
2
x - 
5
2
y + 21z = 0    (1)
 
525
43
y = - 
3014375
216462
    (2)
 
10068
625
z = 
418
125
    (3)

Multiply both sides of equation (3) by 4375
Divide both sides of equation (3) by 3356, get the equation：
         
17619
839
z = 
7315
1678
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 
43
2
x - 
5
2
y = - 
7315
1678
    (1)
 
525
43
y = - 
3014375
216462
    (2)
 
10068
625
z = 
418
125
    (3)

Multiply both sides of equation (2) by 43
Divide both sides of equation (2) by 210, get the equation：
         
5
2
y = - 
86125
30204
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 
43
2
x = - 
217795
30204
    (1)
 
525
43
y = - 
3014375
216462
    (2)
 z = 
1045
5034
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
5065
15102
    (1)
 y = - 
17225
15102
    (2)
 z = 
1045
5034
    (3)


Therefore, the solution of the equation set is:
x = - 
5065
15102
y = - 
17225
15102
z = 
1045
5034


Convert the solution of the equation set to decimals:
x = -0.335386
y = -1.140577
z = 0.207588

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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