You just need to install the Creative Cloud APP on your other machine and sign in with your registered email. You might be asked to deactivate from the other machine (if you have already registered two machines - (You are allowed to use two machines at any one time)
It's pretty simple once you start to install the authorised APP but these forums will guide you if you need any help.
You did mean Photoshop and not Photoshop Elements right? Please clarify.
You've posted in the Photoshop Elements forum.
Which version of Elements? Did you buy disc or download?