YOU SAID:
do you want to go to homecoming with me?
INTO JAPANESE
私と一緒に帰省したいですか?
BACK INTO ENGLISH
Do you want to go home with me?
INTO JAPANESE
一緒に行かない?
BACK INTO ENGLISH
Do you want to come along?
INTO JAPANESE
一緒にくるかい。
BACK INTO ENGLISH
Do you want to come along?
That didn't even make that much sense in English.