People used to shoot deer just to have meat in the freezer. Not sure that coyote meat makes for good eating but they would just get shot down so they didn't eat the chickens, pet dogs and such. Good way to teach a young kid how to handle a rifle. Send him out there to shoot a few coyotes. Problem solved.
That's in the more rural areas. For urban areas, maybe not practical to send a kid out into the neighborhood. But there are other ways to trap and kill coyotes.
Thanks for the clarification.