That is what I did. On my first attempt, I had windows 10 set as the first boot device. I installed EasyBCD and could only add an entry for Windows 7, the option to add Linux Mint was greyed out. I did try it out and aside from not having an option for Linux Mint, it worked.
Because of that, I then installed EasyBCD on Windows 7 to see if I could add Linux to the boot menu. I was able to do that. I then switched the first boot device to Windows 7. I can now access Windows 7 and Linux Mint, but Windows 10 displays a message that it can't boot do to a "hardware change".
Regardless of which way I have the first boot priority; when I select which OS I want to boot into, Windows wants to check to check the disk. If I let it, it validates that there is no errors and boots into the selected Windows.