Solve {l}{y=x^2-7|x|}{y=x-3/x+1}

$$\left. \begin{array} { l } { y = x ^ { 2 } - 7 | x | } \\ { y = \frac { x - 3 } { x + 1 } } \end{array} \right.$$

Solve for y, x

$$x=\frac{2\left(2\sqrt{15}\cos(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})+3\right)}{3}\approx 7.071332931\text{, }y=\frac{2\left(-6\sqrt{15}\cos(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})+40\left(\cos(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})\right)^{2}-15\right)}{3}\approx 0.504418907$$

$$x=\frac{2\left(\sqrt{15}\left(\sqrt{3}\sin(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})-\cos(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})\right)+3\right)}{3}\approx 0.307652409\text{, }y=\frac{2\left(2\left(\sqrt{15}\left(\sqrt{3}\sin(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})-\cos(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})\right)+3\right)^{2}-21\sqrt{15}\left(\sqrt{3}\sin(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})-\cos(\frac{\arccos(\frac{87\sqrt{15}}{400})}{3})\right)-63\right)}{9}\approx -2.058916859$$

$$x=-\frac{2^{\frac{2}{3}}\left(\sqrt[3]{9\sqrt{785}+673}+\sqrt[3]{673-9\sqrt{785}}+8\sqrt[3]{2}\right)}{6}\approx -7.227242795\text{, }y=\frac{\sqrt[3]{2}\left(-5\sqrt[3]{2}\left(\sqrt[3]{9\sqrt{785}+673}+\sqrt[3]{673-9\sqrt{785}}\right)+\left(9\sqrt{785}+673\right)^{\frac{2}{3}}+\left(673-9\sqrt{785}\right)^{\frac{2}{3}}\right)-24}{18}\approx 1.642338854$$