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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:
 36x + 999y + 999z = 666    (1)
 666x + 999y + 666z = 9    (2)
 699x + 996y + 66z = 999    (3)
Question solving process:

Multiply both sides of equation (1) by 37
Divide the two sides of equation (1) by 2, the equation can be obtained:
         666x + 
36963
2
y + 
36963
2
z = 12321    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 36x + 999y + 999z = 666    (1)
- 
34965
2
y - 
35631
2
z = -12312    (2)
 699x + 996y + 66z = 999    (3)

Multiply both sides of equation (1) by 233
Divide the two sides of equation (1) by 12, the equation can be obtained:
         699x + 
77589
4
y + 
77589
4
z = 
25863
2
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 36x + 999y + 999z = 666    (1)
- 
34965
2
y - 
35631
2
z = -12312    (2)
- 
73605
4
y - 
77325
4
z = - 
23865
2
    (3)

Multiply both sides of equation (2) by 701
Divide the two sides of equation (2) by 666, the equation can be obtained:
        - 
73605
4
y - 
75007
4
z = - 
479484
37
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 36x + 999y + 999z = 666    (1)
- 
34965
2
y - 
35631
2
z = -12312    (2)
- 
1159
2
z = 
75963
74
    (3)

Multiply both sides of equation (3) by 35631
Divide both sides of equation (3) by 1159, get the equation：
        - 
35631
2
z = 
73152369
2318
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 36x + 999y + 999z = 666    (1)
- 
34965
2
y = - 
101691585
2318
    (2)
- 
1159
2
z = 
75963
74
    (3)

Multiply both sides of equation (3) by 1998
Divide both sides of equation (3) by 1159, get the equation：
        -999z = 
2051001
1159
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 36x + 999y = 
2822895
1159
    (1)
- 
34965
2
y = - 
101691585
2318
    (2)
- 
1159
2
z = 
75963
74
    (3)

Multiply both sides of equation (2) by 2
Divide both sides of equation (2) by 35, get the equation：
        -999y = - 
20338317
8113
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 36x = - 
578052
8113
    (1)
- 
34965
2
y = - 
101691585
2318
    (2)
 z = - 
75963
42883
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
16057
8113
    (1)
 y = 
753271
300181
    (2)
 z = - 
75963
42883
    (3)


Therefore, the solution of the equation set is:
x = - 
16057
8113
y = 
753271
300181
z = - 
75963
42883


Convert the solution of the equation set to decimals:
x = -1.979169
y = 2.509389
z = -1.771401

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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