Answer
The ordered pair $(2,3)$ is a solution, but the ordered pair $(-1,-1)$ is not a solution
Work Step by Step
We replace $x$ with $2$ and $y$ with $3$ and see if a true statement results.
$3x-5y \leq -4$
$3(2)-5(3) \leq -4$
$6-15 \leq -4$
$-9 \leq -4$ True
The ordered pair $(2,3)$ is a solution since $-9 \leq -4$ is a true statement.
We replace $x$ with $-1$ and $y$ with $-1$ and see if a true statement results.
$3x-5y \leq -4$
$3(-1)-5(-1) \leq -4$
$-3+5 \leq -4$
$2 \leq -4$ False
The ordered pair $(-1,-1)$ is not a solution since $2 \leq -4$ is a false statement.