how does weight training increase endurance?

If I stop eating carbs, what should I eat (no meat please).

so I can still use the elliptical, but switch to hill or interval training mode, right?

and I can go for about 30 minutes with a good amount of resistance with no problem.
then I go play basketball and after 2 minutes I am winded.
can someone please explain why this is and I guess what exercises I can do at the gym so that I am not winded so easily.

Thanks