would you like eat to something?是用,Yes,I would.好还是用I would like to.好呢

交际口语一般只说YES

真正完整语法是你说的那个yeap,I would like to
但是一般都不会这么说，前者的回答已经有些正规了，在正式场合的场合用yeap,I would.

就像汉语
请问你需要吃点东西么？
回答一：好的
回答二：好的，我需要吃一点。

可见回答二的烦琐。