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