$\begin{array}{l} a)\,\begin{cases}2x +3y = -2\\2x - y = 4\end{cases}\\ \Leftrightarrow \begin{cases}4y = -6\\2x - y = 4\end{cases}\\ \Leftrightarrow \begin{cases}y = - \dfrac{3}{2}\\2x + \dfrac{3}{2} = 4\end{cases}\\ \Leftrightarrow \begin{cases}x = \dfrac{5}{4}\\y = - \dfrac{3}{2}\end{cases}\\ b)\,\begin{cases}2x + 3y = - 2\\3x - 2y = - 3 \end{cases}\\\Leftrightarrow \begin{cases}6x + 9y = - 6\\6x - 4y = - 6 \end{cases}\\ \Leftrightarrow \begin{cases}13y = 0\\3x - 2y = - 3 \end{cases}\\ \Leftrightarrow \begin{cases}x = -1\\y = 0\end{cases} \end{array}$
