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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:
 13x -2y -2z = 0    (1)
-9x + 16y -9z = 0    (2)
 x + y -3z = 10    (3)
Question solving process:

Multiply both sides of equation (1) by 9
Divide the two sides of equation (1) by 13, the equation can be obtained:
         9x - 
18
13
y - 
18
13
z = 0    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 13x -2y -2z = 0    (1)
 
190
13
y - 
135
13
z = 0    (2)
 x + y -3z = 10    (3)

Divide the two sides of equation (1) by 13, the equation can be obtained:
         x - 
2
13
y - 
2
13
z = 0    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 13x -2y -2z = 0    (1)
 
190
13
y - 
135
13
z = 0    (2)
 
15
13
y - 
37
13
z = 10    (3)

Multiply both sides of equation (2) by 3
Divide the two sides of equation (2) by 38, the equation can be obtained:
         
15
13
y - 
405
494
z = 0    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 13x -2y -2z = 0    (1)
 
190
13
y - 
135
13
z = 0    (2)
- 
77
38
z = 10    (3)

Multiply both sides of equation (3) by 5130
Divide both sides of equation (3) by 1001, get the equation：
        - 
135
13
z = 
51300
1001
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 13x -2y -2z = 0    (1)
 
190
13
y = - 
51300
1001
    (2)
- 
77
38
z = 10    (3)

Multiply both sides of equation (3) by 76
Divide both sides of equation (3) by 77, get the equation：
        -2z = 
760
77
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 13x -2y = - 
760
77
    (1)
 
190
13
y = - 
51300
1001
    (2)
- 
77
38
z = 10    (3)

Multiply both sides of equation (2) by 13
Divide both sides of equation (2) by 95, get the equation：
         2y = - 
540
77
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 13x = - 
1300
77
    (1)
 
190
13
y = - 
51300
1001
    (2)
 z = - 
380
77
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
100
77
    (1)
 y = - 
270
77
    (2)
 z = - 
380
77
    (3)


Therefore, the solution of the equation set is:
x = - 
100
77
y = - 
270
77
z = - 
380
77


Convert the solution of the equation set to decimals:
x = -1.298701
y = -3.506494
z = -4.935065

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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