Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{145y^{2}+538y-167}+15y+1}{2\left(y-6\right)}\text{; }x=\frac{-\sqrt{145y^{2}+538y-167}+15y+1}{2\left(y-6\right)}\text{, }&y\neq 6\\x=\frac{113}{91}\approx 1.241758242\text{, }&y=6\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{145y^{2}+538y-167}+15y+1}{2\left(y-6\right)}\text{; }x=\frac{-\sqrt{145y^{2}+538y-167}+15y+1}{2\left(y-6\right)}\text{, }&y\leq \frac{-8\sqrt{1509}-269}{145}\text{ or }\left(y\neq 6\text{ and }y\geq \frac{8\sqrt{1509}-269}{145}\right)\\x=\frac{113}{91}\approx 1.241758242\text{, }&y=6\end{matrix}\right.
Solve for y
y=\frac{6x^{2}+x+7}{x^{2}-15x+20}
x\neq \frac{\sqrt{145}+15}{2}\text{ and }x\neq \frac{15-\sqrt{145}}{2}
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