I was wondering if it is possible to link several computers, such as a raspberry pi, and have them share resources; acting like one, more powerful, computer. If so, how would it be accomplished?
Yes, it is possible, but because of low power of Rpi, they are used for educational/testing purposes only. For serious tasks (parallel computing, load balancing) they are inefficient when compared to regular server. Have a look on these sites or search in Google for "Raspberry Pi cluster".