1. The problem asks to find the image of the point $(1,1)$ under certain replacement rules labeled as (2,3). 2. Usually, replacement rules (2,3) in a context like this refer to transformations or functions acting on coordinates. 3. Let replacement rule 2 be denoted as $R_2(x,y)$ and rule 3 as $R_3(x,y)$, both acting on point $(x,y)$. 4. If we assume the replacement rules are substitutions for the point, for example: - Rule 2: replace $(x,y)$ by $(x+2,y)$ - Rule 3: replace $(x,y)$ by $(x,y+3)$ 5. Applying Rule 2 to $(1,1)$: $$R_2(1,1)=(1+2,1) = (3,1)$$ 6. Applying Rule 3 to $(1,1)$: $$R_3(1,1)=(1,1+3) = (1,4)$$ 7. Therefore, after applying the replacement rules (2,3) to point $(1,1)$, the resulting points are $(3,1)$ and $(1,4)$ respectively. 8. If the question intends these as successive replacements, applying Rule 3 after Rule 2 results in: $$R_3(R_2(1,1))=R_3(3,1)=(3,4)$$ 9. Hence the point transforms through the sequence: $(1,1) \rightarrow (3,1) \rightarrow (3,4)$. Final answer: The image points are $(3,1)$ applying rule 2, $(1,4)$ applying rule 3, and $(3,4)$ applying rule 2 then 3 in succession.