Answer
No
Work Step by Step
Step 1. Plug-in the numbers in to the first equation; we have
$LHS=2(2)+3(5)=4+15=19\ne RHS$
Step 2. Plug-in the numbers in to the second equation; we have
$LHS=(2)+4(5)=2+20=22\ne RHS$
Step 3. We conclude that the given ordered pair is not a solution of the system.