Not sure what your question is asking. If x=1 and y=(11x-2)/9, then y=(11-2)/9=9/9=1.
Also, if x=10, y=(110-2)/9=108/9=12.
So we can draw up a table of inputs and outputs and see a pattern of whole numbers:
INPUT: 1 10 19 28 ... (increasing by 9)
OUTPUT: 1 12 23 34 ... (increasing by 11)