c: \(\Leftrightarrow\left\{{}\begin{matrix}8x-2\left|y+2\right|=6\\x+2\left|y+2\right|=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}9x=9\\x+2\left|y+2\right|=3\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=1\\y+2\in\left\{1;-1\right\}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=1\\y\in\left\{-1;-3\right\}\end{matrix}\right.\)
a: \(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{4}{x-3}=2\\\dfrac{1}{2\left|y\right|-3}=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-3=2\\2\left|y\right|=4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=5\\y\in\left\{2;-2\right\}\end{matrix}\right.\)