Question 144769
1  1  1 6
1 -1  1 2
1  1 -1 0

-R1+R3
1  1  1  6
1 -1  1  2
0  0 -2 -6

-R1+R2
1  1  1  6
0 -2  0 -4
0  0 -2 -6

-1/2 R2
1  1  1  6
0  1  0  2
0  0 -2 -6

-R2+R1
1  0  1  4
0  1  0  2
0  0 -2 -6

-1/2 R3
1  0  1  4
0  1  0  2
0  0  1  3

-R3+R1
1  0  0  1
0  1  0  2
0  0  1  3

Giving solution set {1,2,3}. It is unclear what the question was asking, but this has been solved.