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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 + 330z = 6000    (1)
-1330y -510z = -12000    (2)
 x + y -1z = 0    (3)
Question solving process:

Divide the two sides of equation (1) by 1020, the equation can be obtained:
         x + 
11
34
z = 
100
17
    (4)
, then subtract both sides of equation (4) from both sides of equation (3), the equations are reduced to:
 1020x + 330z = 6000    (1)
-1330y -510z = -12000    (2)
 y - 
45
34
z = - 
100
17
    (3)

Divide the two sides of equation (2) by 1330, the equation can be obtained:
        -1y - 
51
133
z = - 
1200
133
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 1020x + 330z = 6000    (1)
-1330y -510z = -12000    (2)
- 
7719
4522
z = - 
33700
2261
    (3)

Multiply both sides of equation (3) by 768740
Divide both sides of equation (3) by 2573, get the equation：
        -510z = - 
11458000
2573
    (6)
, then subtract both sides of equation (6) from both sides of equation (2), get the equation：
 1020x + 330z = 6000    (1)
-1330y = - 
19418000
2573
    (2)
- 
7719
4522
z = - 
33700
2261
    (3)

Multiply both sides of equation (3) by 497420
Divide both sides of equation (3) by 2573, get the equation：
        -330z = - 
7414000
2573
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 1020x = 
8024000
2573
    (1)
-1330y = - 
19418000
2573
    (2)
- 
7719
4522
z = - 
33700
2261
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
23600
7719
    (1)
 y = 
14600
2573
    (2)
 z = 
67400
7719
    (3)


Therefore, the solution of the equation set is:
x = 
23600
7719
y = 
14600
2573
z = 
67400
7719


Convert the solution of the equation set to decimals:
x = 3.057391
y = 5.674310
z = 8.731701

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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