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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:
 24x -10y -4z = 20    (1)
-10x + 20y -8z = -40    (2)
-4x -8y + 20z = 20    (3)
Question solving process:

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 12, the equation can be obtained:
         10x - 
25
6
y - 
5
3
z = 
25
3
    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 24x -10y -4z = 20    (1)
 
95
6
y - 
29
3
z = - 
95
3
    (2)
-4x -8y + 20z = 20    (3)

Divide the two sides of equation (1) by 6, the equation can be obtained:
         4x - 
5
3
y - 
2
3
z = 
10
3
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 24x -10y -4z = 20    (1)
 
95
6
y - 
29
3
z = - 
95
3
    (2)
- 
29
3
y + 
58
3
z = 
70
3
    (3)

Multiply both sides of equation (2) by 58
Divide the two sides of equation (2) by 95, the equation can be obtained:
         
29
3
y - 
1682
285
z = - 
58
3
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 24x -10y -4z = 20    (1)
 
95
6
y - 
29
3
z = - 
95
3
    (2)
 
1276
95
z = 4    (3)

Multiply both sides of equation (3) by 95
Divide both sides of equation (3) by 132, get the equation：
         
29
3
z = 
95
33
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 24x -10y -4z = 20    (1)
 
95
6
y = - 
950
33
    (2)
 
1276
95
z = 4    (3)

Multiply both sides of equation (3) by 95
Divide both sides of equation (3) by 319, get the equation：
         4z = 
380
319
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 24x -10y = 
6760
319
    (1)
 
95
6
y = - 
950
33
    (2)
 
1276
95
z = 4    (3)

Multiply both sides of equation (2) by 12
Divide both sides of equation (2) by 19, get the equation：
         10y = - 
200
11
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 24x = 
960
319
    (1)
 
95
6
y = - 
950
33
    (2)
 z = 
95
319
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
40
319
    (1)
 y = - 
20
11
    (2)
 z = 
95
319
    (3)


Therefore, the solution of the equation set is:
x = 
40
319
y = - 
20
11
z = 
95
319


Convert the solution of the equation set to decimals:
x = 0.125392
y = -1.818182
z = 0.297806

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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