The document summarizes the United States presidential elections of 1824 and 1828. In 1824, Andrew Jackson received the most popular votes but no candidate won a majority in the electoral college, so the election was decided by the House of Representatives, who chose John Quincy Adams over Jackson. This led to accusations of a "corrupt bargain" between Adams and Henry Clay. In 1828, Andrew Jackson defeated Adams in a rematch, winning in a landslide and beginning the two-party system with the Democrats versus the National Republicans.