A proposal to end the state’s no-fault auto insurance system got a boost Monday as the House took up most of a plan that the Senate passed last week.

While insurance-industry lobbyists contend the change could increase rates for many Florida motorists, the House Judiciary Committee in an 18-2 vote backed an amended bill (HB 719) that would eliminate the no-fault system and the requirement that motorists carry personal-injury protection, or PIP, coverage.