Yes, both should be given, I'll check it and add it if not. Thanks for the heads up.
How do I tell that the subject is included? It seemed like it was just looked like "eat and drink" to me...
Unless I am mistaken, 'eat and drink' in English can only stand on its own as the imperative, which is very different in Greek. The ending of the verbs here (-ω) clearly indicate it's the first person singular and the phrase means 'I (am) eat(ing) and drink(ing)'.
This is explained in Basic 2 Tips & notes. I've now added it to Basic 1. Each Skill has Tips & note found right under the list of Lessons on the Homepage.