Answer
see graph; $(0,-3)$ and $(0,3)$
Work Step by Step
Step 1. Given equations $9x^2+y^2=9$ and $y^2-9x^2=9$, we can graph both equations as shown in the figure.
Step 2. We can identify two intersection points $(0,-3)$ and $(0,3)$ as solutions to the system.
Step 3. Check the solutions with the first equation: we have $9(0)^2+(-3)^2=9$ and $9(0)^2+(3)^2=9$
Step 4. Check the solutions with the second equation: we have $(-3)^2-9(0)^2=9$ and $(3)^2-9(0)^2=9$
