Place the flour on a clean work surface and make a well in the center.
Crack the eggs into the well, add the salt and olive oil. Use a fork to whisk the eggs and oil together, gradually incorporating the flour from the sides.
Once the dough starts to come together, use your hands to knead it for 5-7 minutes, until it becomes smooth and elastic. If the dough is too dry, add a teaspoon of water at a time. If it's too sticky, add a little flour.
Wrap the dough in plastic wrap and let it rest at room temperature for at least 30 minutes.
Cut the dough into sections and run each section through a pasta machine, starting with the widest setting, and gradually decreasing the setting until you reach your desired thickness (usually setting 6 or 7).
Cut the pasta into your desired shape (e.g., fettuccine, spaghetti) using the pasta machine or a knife.
Cook the pasta in boiling salted water for 2-4 minutes, or until al dente.
Serve immediately with your favorite sauce.
Notes
Enjoy your homemade pasta! Feel free to experiment with different flours and sauces.