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

Multiply both sides of equation (1) by 1020, the equation can be obtained:
         1020x + 1020y -1020z = 0    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 x + y -1z = 0    (1)
-1020y + 1530z = 6    (2)
 1330y + 510z = 12    (3)

Multiply both sides of equation (2) by 133
Divide the two sides of equation (2) by 102, the equation can be obtained:
        -1330y + 1995z = 
133
17
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 x + y -1z = 0    (1)
-1020y + 1530z = 6    (2)
 2505z = 
337
17
    (3)

Multiply both sides of equation (3) by 102
Divide both sides of equation (3) by 167, get the equation：
         
255510
167
z = 
2022
167
    (6)
, then subtract both sides of equation (6) from both sides of equation (2), get the equation：
 x + y -1z = 0    (1)
-1020y = - 
1020
167
    (2)
 2505z = 
337
17
    (3)

Divide both sides of equation (3) by 2505, get the equation：
         z = 
337
42585
    (7)
, then add the two sides of equation (7) to both sides of equation (1), get the equation：
 x + y = 
337
42585
    (1)
-1020y = - 
1020
167
    (2)
 2505z = 
337
17
    (3)

Divide both sides of equation (2) by 1020, get the equation：
        -1y = - 
1
167
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 x = 
13694
7111695
    (1)
-1020y = - 
1020
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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