To a pot of boiling water add salt. Add pasta and cook pasta according to instructions until al dente.
In a sauce pan, over medium heat, add butter, 1 tbsp. olive oil, lemon juice, and zest, 1/2 cup pasta water. Mix quickly to create an emulsion, and sauce to thicken.
Add pasta, and mix until the pasta is coated in the sauce.
Garnish with more lemon zest, cheese, and basil.
