Simply put, a representative democracy is a system of government in which all eligible citizens vote on representatives to pass laws for them.A perfect example is the U.S., where we elect a president and members of the Congress. We also elect local and state officials.irect democracy is a system of governance that started in ancient Athens, around 508 BC. In it, all eligible citizens vote on decisions for the government rather than relying on representatives. A representative democracy, by contrast, is one where voters select representatives who vote on their behalf.