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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 = 
599
100
    (1)
 1330y + 510z = 0    (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 = 
599
102000
    (4)
, then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
 1020x + 510z = 
599
100
    (1)
 1330y + 510z = 0    (2)
 y - 
3
2
z = - 
599
102000
    (3)

Divide the two sides of equation (2) by 1330, the equation can be obtained:
         y + 
51
133
z = 0    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 1020x + 510z = 
599
100
    (1)
 1330y + 510z = 0    (2)
- 
501
266
z = - 
599
102000
    (3)

Multiply both sides of equation (3) by 45220
Divide both sides of equation (3) by 167, get the equation：
        - 
85170
167
z = - 
79667
50100
    (6)
, then add the two sides of equation (6) to both sides of equation (2), get the equation：
 1020x + 510z = 
599
100
    (1)
 1330y = - 
79667
50100
    (2)
- 
501
266
z = - 
599
102000
    (3)

Multiply both sides of equation (3) by 45220
Divide both sides of equation (3) by 167, get the equation：
        - 
85170
167
z = - 
79667
50100
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 1020x = 
55108
12525
    (1)
 1330y = - 
79667
50100
    (2)
- 
501
266
z = - 
599
102000
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
13777
3193875
    (1)
 y = - 
599
501000
    (2)
 z = 
79667
25551000
    (3)


Therefore, the solution of the equation set is:
x = 
13777
3193875
y = - 
599
501000
z = 
79667
25551000


Convert the solution of the equation set to decimals:
x = 0.004314
y = -0.001196
z = 0.003118

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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