I have a older J.D. 214 lawn tractor with a snow thrower. The cabe that turns the chute is broken.How do these two cabels go to the chute[ witch direction ]

Hi,
Since Deere does not list a snowthrower for that machine on their parts site, it is probably an aftermarket attachment. You will need to see if you can find a bit more info to receive an intelligent answer. See:
John Deere - Parts Catalog
For Deere
There are forums for "vintage" garden tractors. Notice the quoted word as that is the critical search term. There are some on Yahoo Groups as well.
Peace,
Clarke