Answer
$(0,3)$
See figure below:
Work Step by Step
Step 1. Graph the given equations
$\begin{cases} \frac{x^2}{25}+\frac{y^2}{9}=1 \\ y=3 \end{cases}$
as shown in the figure.
Step 2. We can identify the intersect points as $(0,3)$
Step 3. Checking the solution with the first equation, we have $\frac{0^2}{25}+\frac{3^2}{9}=1$
Step 4. Checking the solution with the second equation, we have $3=3$
