Answer
$$\begin{pmatrix}y=\frac{15+\sqrt{73}}{2},\:&x=-\frac{49+5\sqrt{73}}{4}\\ y=\frac{15-\sqrt{73}}{2},\:&x=-\frac{49-5\sqrt{73}}{4}\end{pmatrix}$$
Work Step by Step
In order to solve the system using a graphing calculator, graph each of the equations. Then, find the intersection(s) between the two graphed functions to find the solutions. Doing this, we find that the solutions to the equation are:
$$\begin{pmatrix}y=\frac{15+\sqrt{73}}{2},\:&x=-\frac{49+5\sqrt{73}}{4}\\ y=\frac{15-\sqrt{73}}{2},\:&x=-\frac{49-5\sqrt{73}}{4}\end{pmatrix}$$
