1. **Season the Steaks:**
– Generously season the steaks with salt and pepper.
2. **Cook the Steaks:**
– Heat a skillet over medium-high heat and add 1 tablespoon of olive oil.
– Once hot, add the steaks to the skillet and cook for about 4-5 minutes on each side for medium-rare, or until desired doneness.
– Remove from the skillet and let rest.
3. **Prepare the Garlic-Thyme Butter:**
– In the same skillet, reduce heat to medium.
– Add butter, garlic, and thyme, cooking until the butter melts and becomes fragrant.
4. **Cook the Eggs:**
– Crack the eggs into the skillet, being careful not to break the yolks.
– Season with salt and pepper.
– Cook until the whites are set but the yolks are still runny, about 2-3 minutes.
5. **Serve:**
– Serve the steaks with eggs on top, spooning some of the garlic-thyme butter over them.
Enjoy this classic and hearty dish!