Answer
Yes
Work Step by Step
Our aim is to determine that whether the given ordered pair is a solution or not. In order to find this we will plug the given values of $x$ and $y$ , respectively.
Plug $x=5$ and $y=-3$ in the given ordered pair of equations.
$2x-13=y$ or, $2x-y=13$
$2(5)+3=13$
Thus, $13=13$
$4x+9y=-7$
$4(5)+9(-3)=-7$
Thus, $-7 =-7$
Hence, it is a solution.