Answer
No
Work Step by Step
Step 1. Plug-in the numbers to the first equation; we have
$LHS=5(8)-4(5)=40-20=20=RHS$
Step 2. Plug-in the numbers to the second equation; we have
$LHS=3(5)=15$
$RHS=2(8)+1=17\ne LHS$
Step 3. We conclude that the given ordered pair is not a solution of the system.