Fish150, you really need to strip the wallpaper off the walls before you paint. At some time in the future, even if you are lucky and your wallpaper is smooth enough that the seams do not show or the paper starts to come down while you are painting, you will want to remove the paper. Once wallpaper is painted, it becomes VERY difficult to remove. Do yourself a favor and do it right this time. Remove the wallpaper, seal the drywall with a primer/sealer like Zinsser’s B-I-N, then do the painting. You will be saving yourself from a BIG mess sometime in the future.
Henry in MI