Pat the salmon fillets with a paper towel to remove excess moisture. Season the flesh side of the salmon with salt, pepper, and garlic powder.
In a skillet over medium heat, add the olive oil, butter, and the salmon, skin-side down. Allow the salmon to cook, undisturbed, for 4-5 minutes.
While the skin-side is cooking, add the dill and 1 tbsp lemon juice to the pan. Spoon the melted butter/oil/seasoning mixture over the salmon while it's cooking (you can keep spooning the seasoned butter the whole time it's cooking; it will make it really flavorful).
Gently flip the salmon and continue cooking for 1 minute (or until your desired doneness). At this point you can remove the skin (though some people enjoy eating it).
Drizzle the remaining 1 tbsp of lemon juice over the cooked salmon and garnish with green onion and lemon slices (if desired).