New Mexico Constitution Art. V, § 2. Canvassing of elections; tie votes

The returns of every election for state officers shall be sealed up and transmitted to the secretary of state, who, with the governor and chief justice, shall constitute the state canvassing board which shall canvass and declare the result of the election. The joint candidates having the highest number of votes cast for governor and lieutenant governor and the person having the highest number of votes for any other office, as shown by said returns, shall be declared duly elected. If two or more have an equal, and the highest, number of votes for the same office or offices, one of them, or any two for whom joint votes were cast for governor and lieutenant governor respectively, shall be chosen therefor by the legislature on joint ballot.