commissioners holding over.] Regular elections of any such district shall be held on the first Tuesday after the first Monday of December of each second calendar year following the first election hereinbefore provided for, and the commissioners so elected at each of said elections shall hold their offices until their successors are elected and have qualified in accordance with the provisions of this act [73-6-17 to 73-6-25, 73-6-33 N.M. Stat. Ann.].