OUTLOOK.COM ACCESS TO MULTIPLE ACCOUNTS

Ok, so I get a log in message that says "somebody else seems to be using your account" ,and then yammers on about how they have to make sure it's me. So they ask for another account that they can send a code to. BUT, and it's big one, I CAN'T access that account at the same time, because when I try to log into that, I ALSO get the "somebody else seems..." message. And when you log out (I never logged in, so WTF), it closes the log in page for BOTH accounts. When, finally, you can log into the account that you sent the code to, it isn't accepted in the other log in screen anymore. OF COURSE IT ISN'T. YOU HAD TO CLOSE IT TO LOG OUT. THIS IS A NEW LOG IN SCREEN, HENCE IT NEEDS A NEW CODE!! You can see where this is going. A never ending circle of log in, log out. log in........... Somebody must have had the same problem. I use 3 accounts, and I need them all. Who's the genius who thought de-linking former Hotmail accounts was a good idea? Now, important email is going unread!!! Bueller? Anyone? Anyone?