Both are correct English but the meanings are slightly different. "to go their (own) separate ways" is a set phrase, referring to a parting that will see each party follow a different course in life. "Warning" someone not to do this is not tremendously usual, though.
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GPYMore context is needed to determine which if any of these meanings is intended.
Mister MicawberYour teacher's sentence seems to mean something quite different from yours. Please explain in more detail what you intend it to mean.Thank you Mister Micawber. I think you a
virginia274Now With the explanation of GPY, I think The my teacher's sentence is more suitable for here.Right, the expression "go their separate ways" doesn't really fit here.