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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:
 28x -12y -10z = 0    (1)
-12x + 17y -3z = -82    (2)
-10x -3y + 17z = 122    (3)
Question solving process:

Multiply both sides of equation (1) by 3
Divide the two sides of equation (1) by 7, the equation can be obtained:
         12x - 
36
7
y - 
30
7
z = 0    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 28x -12y -10z = 0    (1)
 
83
7
y - 
51
7
z = -82    (2)
-10x -3y + 17z = 122    (3)

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 14, the equation can be obtained:
         10x - 
30
7
y - 
25
7
z = 0    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 28x -12y -10z = 0    (1)
 
83
7
y - 
51
7
z = -82    (2)
- 
51
7
y + 
94
7
z = 122    (3)

Multiply both sides of equation (2) by 51
Divide the two sides of equation (2) by 83, the equation can be obtained:
         
51
7
y - 
2601
581
z = - 
4182
83
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 28x -12y -10z = 0    (1)
 
83
7
y - 
51
7
z = -82    (2)
 
743
83
z = 
5944
83
    (3)

Multiply both sides of equation (3) by 4233
Divide both sides of equation (3) by 5201, get the equation：
         
37893
5201
z = 
303144
5201
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 28x -12y -10z = 0    (1)
 
83
7
y = - 
123338
5201
    (2)
 
743
83
z = 
5944
83
    (3)

Multiply both sides of equation (3) by 830
Divide both sides of equation (3) by 743, get the equation：
         
7430
743
z = 
59440
743
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 28x -12y = 
59440
743
    (1)
 
83
7
y = - 
123338
5201
    (2)
 
743
83
z = 
5944
83
    (3)

Multiply both sides of equation (2) by 84
Divide both sides of equation (2) by 83, get the equation：
         12y = - 
17832
743
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 28x = 
41608
743
    (1)
 
83
7
y = - 
123338
5201
    (2)
 z = 
5944
743
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
1486
743
    (1)
 y = - 
1486
743
    (2)
 z = 
5944
743
    (3)


Therefore, the solution of the equation set is:
x = 
1486
743
y = - 
1486
743
z = 
5944
743


Convert the solution of the equation set to decimals:
x = 2.000000
y = -2.000000
z = 8.000000

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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