Prepare the Rib-eye steak: Take it out of the refrigerator at least 30-60 minutes before cooking to bring it to room temperature. This step ensures more even cooking. Pat the steak dry with paper towels. Season both sides generously with salt and black pepper. Allow the seasoning to adhere to the meat for a few minutes.
Preheat the pan over high heat: Add a drizzle of cooking oil and butter, let it get hot but not smoking.
Cook the steak: Place the rib-eye steak in a very hot pan. Sear each side for 2 minutes and 25 seconds. Thereafter, flip the rib-eye steak over and repeat the process. Remove the rib-eye steak from the pan. Let it rest for 10 minutes. Cover the rib-eye steak with a foil or a microwave lid to insulate the temperature.