Answer
$(2,-3)$ is a solution of the system.
Work Step by Step
An ordered pair is a solution to the system if it satisfies both equatons:
$ \begin{array}{lllll}
2(2)+3(-3) & =-5 & .... & 7(2)-3(-3) & =23\\
4-9 & =-5 & & 14+9 & =23\\
TRUE & & & TRUE &
\end{array} $
$(2,-3)$ is a solution of the system.