`x=| (2,3,1),(-1,2,3),(0,-3,1) |/Delta`

`y=| (2,2,1),(-1,-1,3),(-3,0,1) |/Delta`

`z=| (2,3,2),(-1,2,-1),(-3,-3,0) |/Delta`

where

`Delta=| (2,3,1),(-1,2,3),(-3,-3,1) |` `=2(11)+1(6)-3(7)` `=7`

So

`x = (2(11)+1(6)+0)/7=28/7=4`

`y = (2(-1)+1(2)-3(7))/7` `=-21/7` `=-3`

`z = (2(-3)+1(6)-3(-7))/7` `=21/7` `=3`

Checking solutions:

[1] 2(4) + 3(-3) + 3 = 2 OK

[2] −(4) + 2(-3) + 3(3) = -1 OK

[3] −3(4) − 3(−3) + 3 = 0 OK

So the solution is `(4, -3, 3)`.