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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 - 
35
2
y - 
5
2
z = 0    (1)
- 
35
2
x + 
51
2
y + 
21
2
z = -14    (2)
- 
5
2
x + 
17
2
y + 
25
2
z = -14    (3)
Question solving process:

Multiply both sides of equation (1) by 35
Divide the two sides of equation (1) by 43, the equation can be obtained:
         
35
2
x - 
1225
86
y - 
175
86
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 - 
35
2
y - 
5
2
z = 0    (1)
 
484
43
y + 
364
43
z = -14    (2)
- 
5
2
x + 
17
2
y + 
25
2
z = -14    (3)

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 - 
175
86
y - 
25
86
z = 0    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 
43
2
x - 
35
2
y - 
5
2
z = 0    (1)
 
484
43
y + 
364
43
z = -14    (2)
 
278
43
y + 
525
43
z = -14    (3)

Multiply both sides of equation (2) by 139
Divide the two sides of equation (2) by 242, the equation can be obtained:
         
278
43
y + 
25298
5203
z = - 
973
121
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 
43
2
x - 
35
2
y - 
5
2
z = 0    (1)
 
484
43
y + 
364
43
z = -14    (2)
 
889
121
z = - 
721
121
    (3)

Multiply both sides of equation (3) by 6292
Divide both sides of equation (3) by 5461, get the equation：
         
46228
5461
z = - 
37492
5461
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 
43
2
x - 
35
2
y - 
5
2
z = 0    (1)
 
484
43
y = - 
38962
5461
    (2)
 
889
121
z = - 
721
121
    (3)

Multiply both sides of equation (3) by 605
Divide both sides of equation (3) by 1778, get the equation：
         
635
254
z = - 
515
254
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 
43
2
x - 
35
2
y = - 
515
254
    (1)
 
484
43
y = - 
38962
5461
    (2)
 
889
121
z = - 
721
121
    (3)

Multiply both sides of equation (2) by 1505
Divide both sides of equation (2) by 968, get the equation：
         
35
2
y = - 
5635
508
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 
43
2
x = - 
6665
508
    (1)
 
484
43
y = - 
38962
5461
    (2)
 z = - 
103
127
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
155
254
    (1)
 y = - 
161
254
    (2)
 z = - 
103
127
    (3)


Therefore, the solution of the equation set is:
x = - 
155
254
y = - 
161
254
z = - 
103
127


Convert the solution of the equation set to decimals:
x = -0.610236
y = -0.633858
z = -0.811024

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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