Season the ribeye steak with salt and black pepper on both sides.
Heat a skillet over medium heat and add butter.
Cook the steak for about 3-5 minutes on each side or until desired doneness.
Remove the steak from the skillet and let it rest while preparing the eggs.
In the same skillet, crack the eggs and cook them to your liking.
Add the American cheese on top of the eggs in the skillet and cover to melt.
Toast the bagels in the skillet until golden brown.
Assemble the sandwich by layering sliced steak, cooked eggs with cheese, and the top half of the bagel.