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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:
 999x -48y + 999z = 1    (1)
 123x + 456y + 789z = 10    (2)
 147x + 258y + 369z = 10    (3)
Question solving process:

Multiply both sides of equation (1) by 41
Divide the two sides of equation (1) by 333, the equation can be obtained:
         123x - 
656
111
y + 123z = 
41
333
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 999x -48y + 999z = 1    (1)
 
51272
111
y + 666z = 
3289
333
    (2)
 147x + 258y + 369z = 10    (3)

Multiply both sides of equation (1) by 49
Divide the two sides of equation (1) by 333, the equation can be obtained:
         147x - 
784
111
y + 147z = 
49
333
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 999x -48y + 999z = 1    (1)
 
51272
111
y + 666z = 
3289
333
    (2)
 
29422
111
y + 222z = 
3281
333
    (3)

Multiply both sides of equation (2) by 14711
Divide the two sides of equation (2) by 25636, the equation can be obtained:
         
29422
111
y + 
4898763
12818
z = 
3721883
656676
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 999x -48y + 999z = 1    (1)
 
51272
111
y + 666z = 
3289
333
    (2)
- 
2053167
12818
z = 
8253
1972
    (3)

Multiply both sides of equation (3) by 2845596
Divide both sides of equation (3) by 684389, get the equation：
        - 
232434
349
z = 
321867
18497
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 999x -48y + 999z = 1    (1)
 
51272
111
y = 
168018344
6159501
    (2)
- 
2053167
12818
z = 
8253
1972
    (3)

Multiply both sides of equation (3) by 4268394
Divide both sides of equation (3) by 684389, get the equation：
        - 
348651
349
z = 
965601
36994
    (8)
, then add the two sides of equation (8) to both sides of equation (1), get the equation：
 999x -48y = 
1002595
36994
    (1)
 
51272
111
y = 
168018344
6159501
    (2)
- 
2053167
12818
z = 
8253
1972
    (3)

Multiply both sides of equation (2) by 666
Divide both sides of equation (2) by 6409, get the equation：
         48y = 
52432
18497
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 999x = 
1107459
36994
    (1)
 
51272
111
y = 
168018344
6159501
    (2)
 z = - 
35763
1368778
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
41017
1368778
    (1)
 y = 
3277
55491
    (2)
 z = - 
35763
1368778
    (3)


Therefore, the solution of the equation set is:
x = 
41017
1368778
y = 
3277
55491
z = - 
35763
1368778


Convert the solution of the equation set to decimals:
x = 0.029966
y = 0.059055
z = -0.026128

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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