Answer
The ordered pair $(1,4)$ is a solution, but the ordered pair $(0,0)$ is not a solution.
Work Step by Step
We replace $x$ with $0$ and $y$ with $0$ and see if a true statement results.
$y \gt 3x$
$(0) \gt 3(0)$
$0 \gt 0$ False
The ordered pair $(0,0)$ is not a solution since $0 \gt 0$ is a false statement.
We replace $x$ with $1$ and $y$ with $4$ and see if a true statement results.
$y \gt 3x$
$(4) \gt 3(1)$
$4 \gt 3$ True
The ordered pair $(1,4)$ is a solution since $4 \gt 3$ is a true statement.