\left\{ \begin{array} { l } { 3 x + 2 x y + 6 x + 2 x y = 4 } \\ { \frac { 3 x } { y + 3 } + \frac { 3 x } { y + 6 } = 4 } \end{array} \right.
Solve for x, y
x=\frac{4}{\sqrt{29}\cos(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})+\sqrt{87}\sin(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})-6}\approx 1.449647208\text{, }y=\frac{\sqrt{29}\left(\sqrt{3}\sin(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})+\cos(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})\right)-15}{4}\approx -1.56017699
x=\frac{2\left(-\sqrt{29}\cos(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})+3\right)}{29\left(\cos(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})\right)^{2}-9}\approx -0.253052547\text{, }y=\frac{-2\sqrt{29}\cos(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})-15}{4}\approx -6.201748411
x=\frac{4}{\sqrt{29}\cos(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})-\sqrt{87}\sin(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})-6}\approx -0.807705772\text{, }y=\frac{\sqrt{29}\left(-\sqrt{3}\sin(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})+\cos(\frac{\arccos(\frac{45\sqrt{29}}{841})}{3})\right)-15}{4}\approx -3.488074599
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