Reincarnated in a Isekai World.

This story is about a boy who's name is Leon Sanderson who was sent to the alternate universe since his death was unplanned, and a girl named Rose Everdeen who was a former student council president who belongs to the alternate universe.
Since Leon Sanderson is a boy who belongs from our universe but gets teleported into a alternate universe where he was adopted by a noble couple, how could he survive this world with his Oden System which is a combination of Magic and technology?
How would Rose Everdeen who belongs to the alternate universe gets her popularity back and proves to everyone that she did not disqualified on the sword fighting competition since she was slandered by her old friend Caytlin?
What will happen will the two people from two different universe get's to meet each other?(Note: the story is not done written)