In which system is the executive leader a part of both the executive and legislative branch

I have not heard of such a system. Perhaps the closest system to which your question describes is a democracy. If the question has multiple answers, tell me them, and I can better assist you.

answer: you should take her on some very fun times to remind her of how much fun she can still have and show her lots of love and affection!

explanation: from past experience this will most likely bring your mom to be happy about life again

answer: hey!

explanation: nm