\(\left(2\text{x}-3\right)\left(y+1\right)=12\)
\(\Leftrightarrow\left[{}\begin{matrix}2\text{x}-3=12\\y+1=12\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2\text{x}=15\\y=11\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\y=11\end{matrix}\right.\)