Answer:
You're
"You're a talented singer." We replace you're with you are and get ''You are a talented singer". The sentence retained its meaning! So, we chose you're quite correctly.
I like you're suit. Replacing you're with you are, we get ''I like you are a suit''. "I like that you suit?" Something does not fit: it is obvious that you're in this case used incorrectly.
Your
Your new shoes are so expensive. Let's replace your with my and get ''My new shoes are so expensive''. Grammatically, everything is correct, there was a small change in meaning, but it does not play any role for us. Therefore, we correctly chose your.
Your meeting me at 7. If you replace your with my, then we get nonsense - ''My meeting me at 7''. And if you think about it, then the original version did not make sense, if only because it does not contain a predicate, which, according to the word order in an English sentence, is unacceptable. Conclusion - in this case, we chose your incorrectly.Explanation: