Answer
a. The ordered pair $(-3,2)$ is not a solution.
b. The ordered pair $(9,0)$ is a solution.
Work Step by Step
a.
We replace $x$ with $-3$ and $y$ with $2$ and see if a true statement results.
$x-4y \gt 8$
$(-3)-4(2) \gt 8$
$-3-8 \gt 8$
$-11 \gt 8$ False
The ordered pair $(-3,2)$ is not a solution, since $-11 \gt 8$ is a false statement.
b.
We replace $x$ with $9$ and $y$ with $0$ and see if a true statement results.
$x-4y \gt 8$
$(9)-4(0) \gt 8$
$9-0 \gt 8$
$9 \gt 8$ True
The ordered pair $(9,0)$ is a solution, since $9 \gt 8$ is a true statement.
