Having different email account from FB and google as same user

Hi guys, So I was testing the FB and google login function which works great after some tweaking. I logged in with my FB account and I then log it with my google account. However, I notice that when I log in to my FB account and my google account it will both linked with each other and I could not separate it. As you can see from the pics I upload, the FB account is @ yahoo while the google account is @ google. When I try to log in to either the Google or FB it will still show both of the ema

The New York Times, IFTTT, Medium, and Other Apps Adopt Sign in With Apple Ahead of June 30 Deadline - MacRumors

Allow Members to Sign Up and Sign In with Other Services - Ning 3 Help

New! Use Your Facebook or Google Account to Create or Login to Our Website! - SANE - Sewing and Housewares

Do you use Gmail to log in to Facebook? You're at risk of being hacked

hyperlinks - What is the reason for having more than one login link for Facebook? - User Experience Stack Exchange

How to manage multiple Google accounts

Resolve errors that occur when you sign in to your Adobe account with your social account

Can I switch from using PBS Account to one of my social media accounts? : PBS Help

Help:Connecting social accounts, Community Central

How to add an alternative user support email to OA - Google Cloud Community

design patterns - Why Google and Facebook use one text field by page for account creation? - User Experience Stack Exchange