Dear AnG;
It seems you have forgotten that such a reaction needs reagent(s), otherwise it will not really work or only be some thermodynamic processes.
Dehydration of Alcohols, and both are, is normally Acid catalysed, and anyway thermodynamic controlled too. That means that the reaction conditions “decide” the partial amount of every possible product!
The usual additionally elimination products “are”:
Ethylene and 1,1-Dimethyl-Ethylene.
But remember!: All depends on the reaction conditions (Acid, Temperature, Concentration, etc.)
Good Luck!
ARGOS++