The supreme executive power shall be vested in the Governor, who shall take care that the laws be faithfully executed; he shall be chosen on the day of the general election, by the qualified electors of the Commonwealth, at the places where they shall vote for Representatives. The returns of every election for Governor shall be sealed up and transmitted to the seat of government, directed to the President of the Senate, who shall open and publish them in the presence of the members of both Houses of the General Assembly. The person having the highest number of votes shall be Governor, but if two or more be equal and highest in votes, one of them shall be chosen Governor by the joint vote of the members of both Houses. Contested elections shall be determined by a committee, to be selected from both Houses of the General Assembly, and formed and regulated in such manner as shall be directed by law.