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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:
 170x + 13y + z = -33    (1)
 197x + 14y + z = -56    (2)
 226x + 15y + z = 219    (3)
Question solving process:

Multiply both sides of equation (1) by 197
Divide the two sides of equation (1) by 170, the equation can be obtained:
         197x + 
2561
170
y + 
197
170
z = - 
6501
170
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 170x + 13y + z = -33    (1)
- 
181
170
y - 
27
170
z = - 
3019
170
    (2)
 226x + 15y + z = 219    (3)

Multiply both sides of equation (1) by 113
Divide the two sides of equation (1) by 85, the equation can be obtained:
         226x + 
1469
85
y + 
113
85
z = - 
3729
85
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 170x + 13y + z = -33    (1)
- 
181
170
y - 
27
170
z = - 
3019
170
    (2)
- 
194
85
y - 
28
85
z = 
22344
85
    (3)

Multiply both sides of equation (2) by 388
Divide the two sides of equation (2) by 181, the equation can be obtained:
        - 
35114
15385
y - 
5238
15385
z = - 
585686
15385
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 170x + 13y + z = -33    (1)
- 
181
170
y - 
27
170
z = - 
3019
170
    (2)
 
2
181
z = 
54470
181
    (3)

Multiply both sides of equation (3) by 4887
Divide both sides of equation (3) by 340, get the equation：
         
4887
30770
z = 
26619489
6154
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 170x + 13y + z = -33    (1)
- 
181
170
y = 
3898559
905
    (2)
 
2
181
z = 
54470
181
    (3)

Multiply both sides of equation (3) by 181
Divide both sides of equation (3) by 2, get the equation：
         z = 
4929535
181
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 170x + 13y = - 
4935508
181
    (1)
- 
181
170
y = 
3898559
905
    (2)
 
2
181
z = 
54470
181
    (3)

Multiply both sides of equation (2) by 2210
Divide both sides of equation (2) by 181, get the equation：
        - 
2353
181
y = 
9520238
181
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 170x = 
4584730
181
    (1)
- 
181
170
y = 
3898559
905
    (2)
 z = 
4929535
181
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = 
26969
181
    (1)
 y = - 
732326
181
    (2)
 z = 
4929535
181
    (3)


Therefore, the solution of the equation set is:
x = 
26969
181
y = - 
732326
181
z = 
4929535
181


Convert the solution of the equation set to decimals:
x = 149.000000
y = -4046.000000
z = 27235.000000

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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