It's possible to join ABS to PVC, but it's only supposed to be done with a mechanical coupling, not glued. If you just came here for the answer, you can stop reading... but I think you want the whole ...

Gary Wentz, an editor for Family Handyman, will show you how to glue PVC pipes to get a fast, leak-free seal. Make an improvised guide by screwing together scraps of 2×4. Saw using a handsaw with a ...