Bring a large pot of salted water to a boil. Cook the linguine or spaghetti according to package instructions until al dente. Reserve 1/2 cup of pasta water, then drain the pasta and set aside.
While the pasta cooks, pat the shrimp dry with paper towels and season with salt and black pepper.
In a large skillet, heat 2 tablespoons of butter and the olive oil over medium-high heat. Add the shrimp and cook for 1-2 minutes per side, until pink and opaque. Remove the shrimp to a plate and set aside.
Return the shrimp to the skillet along with the cooked pasta. Toss everything together, adding a splash of reserved pasta water if needed to loosen the sauce. Season with additional salt and pepper to taste.
Remove from heat and stir in the chopped parsley. Serve immediately, topped with grated Parmesan if desired. Enjoy your shrimp scampi!