Hello Slava! 'Weep' and 'cry' are often very similar, but 'weep' is much more connected to sad emotions and situations. You would not typically say 'weep tears of joy.' for example. Since weep has this negative association, 'cry with laughter' is more correct. I would also use 'cry' with frustration or rage. Weep is best used with sadness specifically, not just negative emotions in general. Finally, 'cry' is sometimes used to indicate a shout or yell (for example: " 'Be careful!' he cried." ). You can never use 'weep' for this meaning of 'cry.' Let me know if you have any questions! Regards, Lee

Your questions asks if you can SAY these phrases, so I think I should tell you that no one ever uses the word "weep" in conversations. The phrases are all perfectly good written English, but "weep" has such a formal and literary feeling that you will only find it in books, and it will sound unnatural if you use it in a conversation.