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

Divide the two sides of equation (1) by 2, the equation can be obtained:
         10x -5y -4z = -20    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 20x -10y -8z = -40    (1)
 19y -8z = -40    (2)
-8x -4y + 20z = 20    (3)

Multiply both sides of equation (1) by 2
Divide the two sides of equation (1) by 5, the equation can be obtained:
         8x -4y - 
16
5
z = -16    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 20x -10y -8z = -40    (1)
 19y -8z = -40    (2)
-8y + 
84
5
z = 4    (3)

Multiply both sides of equation (2) by 8
Divide the two sides of equation (2) by 19, the equation can be obtained:
         8y - 
64
19
z = - 
320
19
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 20x -10y -8z = -40    (1)
 19y -8z = -40    (2)
 
1276
95
z = - 
244
19
    (3)

Multiply both sides of equation (3) by 190
Divide both sides of equation (3) by 319, get the equation：
         8z = - 
2440
319
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 20x -10y -8z = -40    (1)
 19y = - 
15200
319
    (2)
 
1276
95
z = - 
244
19
    (3)

Multiply both sides of equation (3) by 190
Divide both sides of equation (3) by 319, get the equation：
         8z = - 
2440
319
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 20x -10y = - 
15200
319
    (1)
 19y = - 
15200
319
    (2)
 
1276
95
z = - 
244
19
    (3)

Multiply both sides of equation (2) by 10
Divide both sides of equation (2) by 19, get the equation：
         10y = - 
8000
319
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 20x = - 
23200
319
    (1)
 19y = - 
15200
319
    (2)
 z = - 
305
319
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
1160
319
    (1)
 y = - 
800
319
    (2)
 z = - 
305
319
    (3)


Therefore, the solution of the equation set is:
x = - 
1160
319
y = - 
800
319
z = - 
305
319


Convert the solution of the equation set to decimals:
x = -3.636364
y = -2.507837
z = -0.956113

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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