how does having DSL and cable at the same time work?

[pearljam]

Im an SNG player, and every time my cable goes out for a few minutes I lose all my SNG's. Apparently my cable is fine and according to the cable company "these things just happen". I am wondering if there is a way I could order DSL and have it plugged into my computer along with the cable so if one goes out I wouldnt even notice. I am very ignorant about computers and any help would be greatly appreciated.
thanks in advance