Quadratic- Quadratic Systems

Hey guys, it's Jhelene again scribing for your post today! So it's early Monday morning after the elimination quiz we had, and we learned the second part to the Systems of Non-Linear Equations.
So you might be thinking "What the heck is a quadratic-quadratic system?" Well it is basically is a system of quadratic relations or what we learned as conics; and it may have 0, 1, 2, 3, or 4 real number solutions.

no real number solutionsone real number solutiontwo real number solutions

three real number solutions

four real number solutions

While we didn't have any assignment besides Friday's worksheet, we did the examples on the booklet like this one:

So we start off with these two equations waiting to be solved..

Then I used one of the equations, and solved for y. In this case there were two possible y answers, so I plugged both into another equation. However, one of my answers did not surpass the equation and had to reject it.
To make sure we got the right answers, plug in your x and y values into each equation and solve.

Seeing as how both x and y values are right, we therefore say that the answer for these equations is (-4, 0).

I hope this post helped you a bit!

PS. Sorry for the crooked pictures up top, my scanner was messed LOL

PPS. 6 days before Christmas!!!! Yay okay bye haha.