Wallpaper falling apart

[Rudy Manna]

I have old house rented out (built in 193) in the Seattle area. It had multiple layers of wallpaper in the first floor. Those are probably from 1970s. Very recently I put new wallpaper since the old wallpaper keep getting pilled off and coming out. Are there any other approaches to solve the problem. I want to fix it and the tenant is also irritated since the wallpapers are hanging in his bedroom. Ideas are welcome and thanks in advance.