1. The problem asks to find the values of $x$ and $y$ given the expressions: $$18, \quad 3(y-1), \quad 9x, \quad 2y+4, \quad A, \quad B, \quad C, \quad D, \quad O$$ 2. Since the problem does not provide explicit equations or relationships between these expressions, we need to assume that some equalities hold to solve for $x$ and $y$. 3. Let's assume the expressions $18$, $3(y-1)$, $9x$, and $2y+4$ are equal in pairs to find $x$ and $y$. 4. First, set $3(y-1) = 18$: $$3(y-1) = 18$$ Divide both sides by 3: $$\cancel{3}(y-1) = \cancel{3}6$$ Simplify: $$y - 1 = 6$$ Add 1 to both sides: $$y = 7$$ 5. Next, set $9x = 18$: $$9x = 18$$ Divide both sides by 9: $$\cancel{9}x = \cancel{9}2$$ Simplify: $$x = 2$$ 6. Verify $2y + 4$ with $y=7$: $$2(7) + 4 = 14 + 4 = 18$$ This matches the value 18, confirming consistency. Final answers: $$x = 2$$ $$y = 7$$