In the country, the correct answer is it depends. If there is junk hiding in the weeds, like a garden hose, extension cord, wire fencing, or a tool you forgot to put away, then it is better to weedeat first to avoid hitting that stuff with the mower.
Otherwise, mow first so the weedeating is minimized.
H
Otherwise, mow first so the weedeating is minimized.
H