This video explains how the intersection point(s) will lead to the solutions, if they exist. A closely related lesson is Solving a Quadratic-Quadratic System. Although very similar, there are a few differences. Please check it out at:

https://mathpqjq.com/solving-a-quadratic-quadratic-system-graphically/

The assumption is that you know how to find an intersection point with a graphing calculator. If you are unsure,  or need a refresher, you can check out the video:

https://www.youtube.com/watch?v=RxOltw48pJQ