Answer
Yes
Work Step by Step
Step 1. Plug-in the numbers to the first equation:
$LHS=9(-3)+7(5)=-27+35=8=RHS$
Step 2. Plug-in the numbers to the second equation:
$LHS=8(-3)-9(5)=-24-45=-69=RHS$
Step 3. We conclude that the given ordered pair is a solution of the system.