The printer is almost certainly compatible with your computer, assuming you have a parallel and/or USB port to which it will connect.  You may also need the printer's driver software in case your version of Windows doesn't automatically set it up.  Here's a link to Lexmark's driver download page for the printer you mentioned:
Hey! My question! Will the printer Lexmark color jetprinter series 7000 work on the HP Pavilion MX70 computer?