found an old pc lying around and decided to boot it up,

found a problem with it, the DVD drive and CD drive on it are not ejecting, pushing the button on the case and even going into my computer right clickng and pressing eject the drive does not open,

does anyone have any idea about what it could be

The failure could be because of anything from a bad belt, bad gear, motor, or it's unplugged. If you wish to open it, you can by inserting something like a straightened paper clip in the small hole under the tray on the exterior. Push it in until you feel resistance, the tray will have to be pulled out once it is freed.