How can I download Photoshop Elements 9 on a Windows 10 PC?

You install programs exactly the same way you did the 1st time... put your disc in the drive and enter your serial number when asked

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Download & Install instructions https://forums.adobe.com/thread/2003339 may help

-includes a way to go to a page to download Adobe programs if you don't have a disc or drive

-you will need to enter your original serial number during install for non-Cloud programs

-Cloud desktop http://helpx.adobe.com/creative-cloud/help/creative-cloud-desktop.html

-Cloud Getting Started https://helpx.adobe.com/creative-cloud.html

-Membership questions and problems https://forums.adobe.com/thread/1146459

-or kglad links in reply #1 here https://forums.adobe.com/thread/2081216 may help

-for Lightroom https://helpx.adobe.com/lightroom/kb/lightroom-downloads.html

Also go to https://forums.adobe.com/community/creative_cloud/creative_cloud_faq