He was elected as president of the municipality of Mexicali for the 1995-1998 term for the National Action Party (PAN).
He was elected on July 8, 2001 as governor of his state representing the PAN (in alliance with the Green Party of Mexico).
[2] During the government of Ernesto Ruffo (1989–1995), Elorduy paid 150,000 pesos (roughly 50,000 US dollars) of state funds to bail out Sergio Ortiz Lara when he was accused in 1994 of collaborating with drug dealers.
In a video released by the Zeta weekly, a former commander of the state police accused Antonio Martínez Luna, Baja California's Attorney General, and other members of public security of being involved in activities regarding drug trafficking, homicide, kidnapping, disappearing and hiding of dead bodies, and accepting bribes.
[3] In 2001, Antonio Carmona, Elorduy's chief of police during his mayorship of Mexicali, was sentenced to 36 years of jail for contributing to drug-dealing and organized crime.