Will Ubuntu mate work on my system?

Welcome to the forum @Gaming_with_Sauce. I would recommend creating a live DVD or live USB drive, and booting your computer from one of those to see if your hardware is compatible with Ubuntu Mate, or any other Linux distribution that you might be considering. Always best to try before installing.

See the following links:

http://ubuntu-mate.org/how-to-create-bootable-usb-drive/

https://help.ubuntu.com/community/BurningIsoHowto

https://ubuntu-mate.community/t/how-to-use-unetbootin/672

And lastly for a list of Hardware requirements

http://ubuntu-mate.org/about/#hardware_requirements