Answer
$(-5,9)$ is not 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}
5(-5)+3(9) & =2 & .... & (-5)+4(9) & =1\\
-25+27 & =2 & & -5+36 & =1\\
2 & =2 & & 31 & =1\\
TRUE & & & FALSE &
\end{array} $
$(-5,9)$ is not a solution of the system.