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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:
 6x + 6y -2z = -5    (1)
 6x + 14y -5z = 0    (2)
-2x -5y + 6z = -10    (3)
Question solving process:

Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
 6x + 6y -2z = -5    (1)
 8y -3z = 5    (2)
-2x -5y + 6z = -10    (3)

Divide the two sides of equation (1) by 3, the equation can be obtained:
         2x + 2y - 
2
3
z = - 
5
3
    (4)
, then add the two sides of equation (4) to both sides of equation (3), the equations are reduced to:
 6x + 6y -2z = -5    (1)
 8y -3z = 5    (2)
-3y + 
16
3
z = - 
35
3
    (3)

Multiply both sides of equation (2) by 3
Divide the two sides of equation (2) by 8, the equation can be obtained:
         3y - 
9
8
z = 
15
8
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 6x + 6y -2z = -5    (1)
 8y -3z = 5    (2)
 
101
24
z = - 
235
24
    (3)

Multiply both sides of equation (3) by 72
Divide both sides of equation (3) by 101, get the equation：
         
303
101
z = - 
705
101
    (6)
, then add the two sides of equation (6) to both sides of equation (2), get the equation：
 6x + 6y -2z = -5    (1)
 8y = - 
200
101
    (2)
 
101
24
z = - 
235
24
    (3)

Multiply both sides of equation (3) by 48
Divide both sides of equation (3) by 101, get the equation：
         
202
101
z = - 
470
101
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 6x + 6y = - 
975
101
    (1)
 8y = - 
200
101
    (2)
 
101
24
z = - 
235
24
    (3)

Multiply both sides of equation (2) by 3
Divide both sides of equation (2) by 4, get the equation：
         6y = - 
150
101
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 6x = - 
825
101
    (1)
 8y = - 
200
101
    (2)
 z = - 
235
101
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
275
202
    (1)
 y = - 
25
101
    (2)
 z = - 
235
101
    (3)


Therefore, the solution of the equation set is:
x = - 
275
202
y = - 
25
101
z = - 
235
101


Convert the solution of the equation set to decimals:
x = -1.361386
y = -0.247525
z = -2.326733

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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