Solve {l}{1x+y=8x^2}{8x+3y=7x^2y}

$$\left. \begin{array} { l } { 1 x + y = 8 x ^ { 2 } } \\ { 8 x + 3 y = 7 x ^ { 2 } y } \end{array} \right.$$

Solve for x, y

$$x=0\text{, }y=0$$

$$x=\frac{2\sqrt{4081}\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})+7}{168}\approx 0.800110598\text{, }y=\frac{-\sqrt{4081}\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})+1166\left(\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})\right)^{2}-7}{252}\approx 4.321305153$$

$$x=\frac{-\sqrt{4081}\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})-\sqrt{12243}\sin(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})+7}{168}\approx -0.386051322\text{, }y=-\frac{\left(-\sqrt{4081}\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})-\sqrt{12243}\sin(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})+7\right)\left(\sqrt{4081}\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})+\sqrt{12243}\sin(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})+14\right)}{3528}\approx 1.578336309$$

$$x=\frac{\sqrt{4081}\left(\sqrt{3}\sin(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})-\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})\right)+7}{168}\approx -0.289059276\text{, }y=-\frac{\left(\sqrt{4081}\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})-\sqrt{12243}\sin(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})+14\right)\left(\sqrt{4081}\left(\sqrt{3}\sin(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})-\cos(\frac{\arccos(\frac{5191\sqrt{4081}}{339889})}{3})\right)+7\right)}{3528}\approx 0.957501395$$