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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:
-4x -4y + 23z = 0    (1)
 26x + 2y -1z = 0    (2)
 5x -1y + z = 210    (3)
Question solving process:

Multiply both sides of equation (1) by 13
Divide the two sides of equation (1) by 2, the equation can be obtained:
        -26x -26y + 
299
2
z = 0    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
-4x -4y + 23z = 0    (1)
-24y + 
297
2
z = 0    (2)
 5x -1y + z = 210    (3)

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 4, the equation can be obtained:
        -5x -5y + 
115
4
z = 0    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
-4x -4y + 23z = 0    (1)
-24y + 
297
2
z = 0    (2)
-6y + 
119
4
z = 210    (3)

Divide the two sides of equation (2) by 4, the equation can be obtained:
        -6y + 
297
8
z = 0    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
-4x -4y + 23z = 0    (1)
-24y + 
297
2
z = 0    (2)
- 
59
8
z = 210    (3)

Multiply both sides of equation (3) by 1188
Divide both sides of equation (3) by 59, get the equation：
        - 
297
2
z = 
249480
59
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
-4x -4y + 23z = 0    (1)
-24y = 
249480
59
    (2)
- 
59
8
z = 210    (3)

Multiply both sides of equation (3) by 184
Divide both sides of equation (3) by 59, get the equation：
        -23z = 
38640
59
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
-4x -4y = 
38640
59
    (1)
-24y = 
249480
59
    (2)
- 
59
8
z = 210    (3)

Divide both sides of equation (2) by 6, get the equation：
        -4y = 
41580
59
    (9)
, then subtract both sides of equation (9) from both sides of equation (1), get the equation：
-4x = - 
2940
59
    (1)
-24y = 
249480
59
    (2)
 z = - 
1680
59
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
735
59
    (1)
 y = - 
10395
59
    (2)
 z = - 
1680
59
    (3)


Therefore, the solution of the equation set is:
x = 
735
59
y = - 
10395
59
z = - 
1680
59


Convert the solution of the equation set to decimals:
x = 12.457627
y = -176.186441
z = -28.474576

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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