## Algebra: A Combined Approach (4th Edition)

a. The ordered pair $(-3,2)$ is not a solution. b. The ordered pair $(9,0)$ is a solution.
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.