Answer
See figure; solution: $(0,5)$ and $(0,-5)$
Work Step by Step
Step 1. Graph the given equations
$\begin{cases} x^2+y^2=25 \\ 25x^2+y^2=25 \end{cases}$
as shown in the figure.
Step 2. We can identify the intersect points as $(0,5)$ and $(0,-5)$
Step 3. Checking the solutions with the first equation, we have $ (0)^2+(5)^2=25$ and $ (0)^2+(-5)^2=25$
Step 4. Checking the solutions with the second equation, we have $25 (0)^2+(5)^2=25$ and $25 (0)^2+(-5)^2=25$
