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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:
 420x -200y -220z = 4    (1)
-200x + 500y -200z = 0    (2)
-220x -200y + 520z = -6    (3)
Question solving process:

Multiply both sides of equation (1) by 10
Divide the two sides of equation (1) by 21, the equation can be obtained:
         200x - 
2000
21
y - 
2200
21
z = 
40
21
    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 420x -200y -220z = 4    (1)
 
8500
21
y - 
6400
21
z = 
40
21
    (2)
-220x -200y + 520z = -6    (3)

Multiply both sides of equation (1) by 11
Divide the two sides of equation (1) by 21, the equation can be obtained:
         220x - 
2200
21
y - 
2420
21
z = 
44
21
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 420x -200y -220z = 4    (1)
 
8500
21
y - 
6400
21
z = 
40
21
    (2)
- 
6400
21
y + 
8500
21
z = - 
82
21
    (3)

Multiply both sides of equation (2) by 64
Divide the two sides of equation (2) by 85, the equation can be obtained:
         
6400
21
y - 
81920
357
z = 
512
357
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 420x -200y -220z = 4    (1)
 
8500
21
y - 
6400
21
z = 
40
21
    (2)
 
2980
17
z = - 
42
17
    (3)

Multiply both sides of equation (3) by 5440
Divide both sides of equation (3) by 3129, get the equation：
         
953600
3129
z = - 
640
149
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 420x -200y -220z = 4    (1)
 
8500
21
y = - 
7480
3129
    (2)
 
2980
17
z = - 
42
17
    (3)

Multiply both sides of equation (3) by 187
Divide both sides of equation (3) by 149, get the equation：
         
32780
149
z = - 
462
149
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 420x -200y = 
134
149
    (1)
 
8500
21
y = - 
7480
3129
    (2)
 
2980
17
z = - 
42
17
    (3)

Multiply both sides of equation (2) by 42
Divide both sides of equation (2) by 85, get the equation：
         200y = - 
176
149
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 420x = - 
6258
22201
    (1)
 
8500
21
y = - 
7480
3129
    (2)
 z = - 
21
1490
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
149
222010
    (1)
 y = - 
22
3725
    (2)
 z = - 
21
1490
    (3)


Therefore, the solution of the equation set is:
x = - 
149
222010
y = - 
22
3725
z = - 
21
1490


Convert the solution of the equation set to decimals:
x = -0.000671
y = -0.005906
z = -0.014094

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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