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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 = 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 -2z = - 
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)
- 
368
133
z = - 
337
11305
    (3)

Multiply both sides of equation (3) by 33915
Divide both sides of equation (3) by 184, get the equation：
        -510z = - 
1011
184
    (6)
, then add the two sides of equation (6) to both sides of equation (2), get the equation：
 510x -510y + 1020z = 6    (1)
 1330y = 
1197
184
    (2)
- 
368
133
z = - 
337
11305
    (3)

Multiply both sides of equation (3) by 33915
Divide both sides of equation (3) by 92, get the equation：
        -1020z = - 
1011
92
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 510x -510y = - 
459
92
    (1)
 1330y = 
1197
184
    (2)
- 
368
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 = 
459
184
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 510x = - 
459
184
    (1)
 1330y = 
1197
184
    (2)
 z = 
337
31280
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
153
31280
    (1)
 y = 
171
34960
    (2)
 z = 
337
31280
    (3)


Therefore, the solution of the equation set is:
x = - 
153
31280
y = 
171
34960
z = 
337
31280


Convert the solution of the equation set to decimals:
x = -0.004891
y = 0.004891
z = 0.010774

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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