1. **State the problem:** We need to choose the correct system of equations where $x$ is the number of Christmas ornaments and $y$ is the number of doll dresses, then solve the system to find how many of each Jocelyn should sell. 2. **Choose the system:** The problem states the total number of items is 18, so the sum of $x$ and $y$ should be 18. Also, the total cost or value is 64, with coefficients indicating prices or quantities. The system matching this is: $$\begin{cases} x + y = 18 \\ 3x + 4y = 64 \end{cases}$$ 3. **Solve the system:** From the first equation: $$y = 18 - x$$ Substitute into the second equation: $$3x + 4(18 - x) = 64$$ $$3x + 72 - 4x = 64$$ $$\cancel{3x} - \cancel{4x} + 72 = 64$$ $$-x + 72 = 64$$ Subtract 72 from both sides: $$-x = 64 - 72$$ $$-x = -8$$ Multiply both sides by $-1$: $$x = 8$$ 4. **Find $y$:** $$y = 18 - x = 18 - 8 = 10$$ 5. **Interpretation:** Jocelyn should sell 8 Christmas ornaments and 10 doll dresses. 6. **Graph description:** The graph would show two lines intersecting at point $(8,10)$, representing the solution. Final answer: - Christmas ornaments: $8$ - Doll dresses: $10$