Solve {l}{3x^2-1/y=7}{2x+y=53}

$$\left. \begin{array} { l } { 3 x ^ { 2 } - \frac { 1 } { y } = 7 } \\ { 2 x + y = 53 } \end{array} \right.$$

Solve for x, y

$$x=\frac{2\sqrt{2837}\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})+53}{6}\approx 26.499761872\text{, }y=\frac{12}{212\sqrt{2837}\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})+11348\left(\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})\right)^{2}+2725}\approx 0.000476256$$

$$x=\frac{-\sqrt{2837}\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})-\sqrt{8511}\sin(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})+53}{6}\approx -1.529470319\text{, }y=\frac{12}{2837\sqrt{3}\sin(\frac{2\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})-106\sqrt{2837}\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})-106\sqrt{8511}\sin(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})+2837\left(\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})\right)^{2}+8511\left(\sin(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})\right)^{2}+2725}\approx 56.058940637$$

$$x=\frac{\sqrt{8511}\sin(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})-\sqrt{2837}\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})+53}{6}\approx 1.529708447\text{, }y=\frac{12}{106\sqrt{8511}\sin(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})-106\sqrt{2837}\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})-2837\sqrt{3}\sin(\frac{2\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})+2837\left(\cos(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})\right)^{2}+8511\left(\sin(\frac{\arccos(\frac{144407\sqrt{2837}}{8048569})}{3})\right)^{2}+2725}\approx 49.940583107$$