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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:
 510x -510y + 1020z = 6    (1)
 1330y + 510z = 12    (2)
 x + y -1z = 0    (3)
Question solving process:

Divide the two sides of equation (1) by 510, the equation can be obtained:
         x -1y + 2z = 
1
85
    (4)
, then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
 510x -510y + 1020z = 6    (1)
 1330y + 510z = 12    (2)
 2y -3z = - 
1
85
    (3)

Divide the two sides of equation (2) by 665, the equation can be obtained:
         2y + 
102
133
z = 
12
665
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 510x -510y + 1020z = 6    (1)
 1330y + 510z = 12    (2)
- 
501
133
z = - 
337
11305
    (3)

Multiply both sides of equation (3) by 22610
Divide both sides of equation (3) by 167, get the equation：
        - 
85170
167
z = - 
674
167
    (6)
, then add the two sides of equation (6) to both sides of equation (2), get the equation：
 510x -510y + 1020z = 6    (1)
 1330y = 
1330
167
    (2)
- 
501
133
z = - 
337
11305
    (3)

Multiply both sides of equation (3) by 45220
Divide both sides of equation (3) by 167, get the equation：
        - 
170340
167
z = - 
1348
167
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 510x -510y = - 
346
167
    (1)
 1330y = 
1330
167
    (2)
- 
501
133
z = - 
337
11305
    (3)

Multiply both sides of equation (2) by 51
Divide both sides of equation (2) by 133, get the equation：
         510y = 
510
167
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 510x = 
27388
27889
    (1)
 1330y = 
1330
167
    (2)
 z = 
337
42585
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
13694
7111695
    (1)
 y = 
1
167
    (2)
 z = 
337
42585
    (3)


Therefore, the solution of the equation set is:
x = 
13694
7111695
y = 
1
167
z = 
337
42585


Convert the solution of the equation set to decimals:
x = 0.001926
y = 0.005988
z = 0.007914

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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