How can you put a non Windows 7 compatible game on a Windows 7 computer

If the computer allows you to install the game; You can then browse to the location of the executable that will start the game (or a shortcut if you have one). Right click this and select "properties" then go to the "compatibility" tab and select "Run this program in compatibility mode for:" and then select Windows XP or Windows Vista. This might help your problem, although some games will remain incompatible.