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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:
 1020x + 510z = 12    (1)
 2000y + 510z = 6    (2)
 x + y -1z = 0    (3)
Question solving process:

Divide the two sides of equation (1) by 1020, the equation can be obtained:
         x + 
1
2
z = 
1
85
    (4)
, then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
 1020x + 510z = 12    (1)
 2000y + 510z = 6    (2)
 y - 
3
2
z = - 
1
85
    (3)

Divide the two sides of equation (2) by 2000, the equation can be obtained:
         y + 
51
200
z = 
3
1000
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 1020x + 510z = 12    (1)
 2000y + 510z = 6    (2)
- 
351
200
z = - 
251
17000
    (3)

Multiply both sides of equation (3) by 34000
Divide both sides of equation (3) by 117, get the equation：
        -510z = - 
502
117
    (6)
, then add the two sides of equation (6) to both sides of equation (2), get the equation：
 1020x + 510z = 12    (1)
 2000y = 
200
117
    (2)
- 
351
200
z = - 
251
17000
    (3)

Multiply both sides of equation (3) by 34000
Divide both sides of equation (3) by 117, get the equation：
        -510z = - 
502
117
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 1020x = 
902
117
    (1)
 2000y = 
200
117
    (2)
- 
351
200
z = - 
251
17000
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
451
59670
    (1)
 y = 
1
1170
    (2)
 z = 
251
29835
    (3)


Therefore, the solution of the equation set is:
x = 
451
59670
y = 
1
1170
z = 
251
29835


Convert the solution of the equation set to decimals:
x = 0.007558
y = 0.000855
z = 0.008413

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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