WHY ARE TWO IMAGES BEING SAVED TOGETHER UNDER THE SAME FILE WHEN I SAVE IT?

I am assuming that you are talking about the version set or stack that is being saved in the Organizer.  The files themselves are separate files and undoubtedly have different names.  If you don't like the files being linked in a version set or stack, you can right click on the top photo and use the options for Stacks and Version sets to unstack them:

When you are saving the files in the Editor, you need to uncheck the option to create a Version Set of the original and edited files:

To be clear...it's saving as one file with two separate pages. When I open the jpg file, there is a right arrow that goes to the other image.