Season the shrimp and scallops with the salt and pepper. Heat 1 tablespoon butter and 1 tablespoon oil in a very large skillet over high heat. Once the butter has begun to foam, add the shrimp. Cook for 1 or 2 minutes per side, just until nicely seared and browned on the outside but not overcooked inside. Scrape into a bowl. Return the skillet to the heat, add the remaining butter and oil, and once the butter foams, add the scallops. Cook for a minute per side, until the tops and bottoms are browned and the middles are no longer translucent, and remove from the heat. The scallops should be medium rare. As soon as you can handle them, slice thin and set aside.