Sound System Plugged Into Monitor

Hello,

Anyways, my Envy Phoenix computer's sound output broke within months of purchase. HP didn't care and I can't get sound from anything plugged into the computer. However, I can get sound if I plug in through my monitor.


My question is, is if there is any difference between plugging into a monitor or computer? And if there is any difference is it worth getting a sound system for around $150 that I will plug into my monitor?

Thank you!

I should clarify that the Klipsch ProMedia sound system will only work if plugged into the headphone jack of the monitor. Will that damage the monitor or speakers?