This cool infographic supplied by Proform gives 6 reasons why elliptical trainers are great tools for exercise! I put the links to a couple of supplemental articles at the bottom of the post, so check them out if you are still unsure about whether or not the elliptical is the right machine for you! Enjoy!
For more in-depth information about the pros and cons of ellipticals, check out this article.
Or, if you are trying to decide between a treadmill and an elliptical, there is a good article here.