Extending logitech speaker wire through ceiling

Hi.
We have just purchased a logitech surround system and would like to replace our existing really old and outdated speakers that we have on the four corners of the ceiling. The logitech speakers have a cable with a plug on the end that connects into the sub woofer. We currently have the old standard speaker wire going into the wall and up into the ceiling for the old speakers and are wondering if there is a way we can splice or connect the logitech speaker wires into these wires as we don't want to have to rewire the whole room. Can someone help please?

Hi. Thanks for your reply. The system we have is a Logitch SX-540, nothing elaborate or expensive but we hope it will do the trick.
Really want to know if we can splice the wires etc to join up with the old fasioned speaker wires in the ceiling. (cut the current logitech wires both ends and put the old fashioned wires in between if you know what I mean)
Thanks again and hope to hear from you.

Hi
Thanks so much for your help, didn't want to chop into the unknown. The info and help is really appreciated.