Answer
$(5,-7)$ is a solution of the inequality.
Work Step by Step
The given inequality is
$\Rightarrow -2x-3y\lt 15$
Substitute $5$ for $x$ and $-7$ for $y$.
$\Rightarrow -2(5)-3(-7)\lt 15$
Simplify.
$\Rightarrow -10+21\lt 15$
$\Rightarrow 11\lt 15$
True.
Hence, $(5,-7)$ is a solution of the inequality.