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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:
 17x -10y -30z = 70    (1)
-2x + 3y -1z = 0    (2)
-6x -1y + 9z = -8    (3)
Question solving process:

Multiply both sides of equation (1) by 2
Divide the two sides of equation (1) by 17, the equation can be obtained:
         2x - 
20
17
y - 
60
17
z = 
140
17
    (4)
, then add the two sides of equation (4) to both sides of equation (2), the equations are reduced to:
 17x -10y -30z = 70    (1)
 
31
17
y - 
77
17
z = 
140
17
    (2)
-6x -1y + 9z = -8    (3)

Multiply both sides of equation (1) by 6
Divide the two sides of equation (1) by 17, the equation can be obtained:
         6x - 
60
17
y - 
180
17
z = 
420
17
    (5)
, then add the two sides of equation (5) to both sides of equation (3), the equations are reduced to:
 17x -10y -30z = 70    (1)
 
31
17
y - 
77
17
z = 
140
17
    (2)
- 
77
17
y - 
27
17
z = 
284
17
    (3)

Multiply both sides of equation (2) by 77
Divide the two sides of equation (2) by 31, the equation can be obtained:
         
77
17
y - 
5929
527
z = 
10780
527
    (6)
, then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
 17x -10y -30z = 70    (1)
 
31
17
y - 
77
17
z = 
140
17
    (2)
- 
398
31
z = 
1152
31
    (3)

Multiply both sides of equation (3) by 2387
Divide both sides of equation (3) by 6766, get the equation：
        - 
15323
3383
z = 
44352
3383
    (7)
, then subtract both sides of equation (7) from both sides of equation (2), get the equation：
 17x -10y -30z = 70    (1)
 
31
17
y = - 
16492
3383
    (2)
- 
398
31
z = 
1152
31
    (3)

Multiply both sides of equation (3) by 465
Divide both sides of equation (3) by 199, get the equation：
        - 
5970
199
z = 
17280
199
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 17x -10y = - 
3350
199
    (1)
 
31
17
y = - 
16492
3383
    (2)
- 
398
31
z = 
1152
31
    (3)

Multiply both sides of equation (2) by 170
Divide both sides of equation (2) by 31, get the equation：
         10y = - 
5320
199
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 17x = - 
8670
199
    (1)
 
31
17
y = - 
16492
3383
    (2)
 z = - 
576
199
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
510
199
    (1)
 y = - 
532
199
    (2)
 z = - 
576
199
    (3)


Therefore, the solution of the equation set is:
x = - 
510
199
y = - 
532
199
z = - 
576
199


Convert the solution of the equation set to decimals:
x = -2.562814
y = -2.673367
z = -2.894472

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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