Linguini with Beef Ragu Sauce

extra virgin olive oil

large carrot (, peeled and finely chopped)

celery stalk (, finely chopped)

small red onion (, finely chopped)

garlic (, minced)

lean ground beef

tomato sauce ((preferably San Marzano tomatoes))

salt

spaghetti (, cooked according to the package directions)

basil leaves for garnish

Parmesan cheese (, optional)