Anita
:I
(not go) out anywhere because my cousin
(come) over.
Answers
Anita: I did not go out anywhere because my cousin came over.
Here, not go is used in the past. Hence we are adding the word 'did' to show the completed action. Therefore the word 'come' also changes to came.
Extra information:-
Here are a few tips to complete such exercises,
Ansh: You ____ (want) the same book that I had _____ (buy) for you.
Answer:- Wanted, Bought.
we are changing this to past tense because, the clue word here (had) states that the action of buying is already completed. Hence it's past.
If this was in present tense,
Ansh: You ____ (want) the same book that I am going to _____ (buy) for you.
Answer:- Want, Buy.
Here, we are not changing the base form of the verb because it is in the present tense. We know the tense because of the clue word: going to. Hence not much of changes is required here.