In football, touchdowns are worth 6 points, field goals are worth 3 points, and extra-point kicks are worth 1 point. In the first playoff game of the state tournament, The Bears and Braves scored a total of 60 points. The points came from 16 different scoring plays (a scoring play is a touchdown, a field goal, or an extra point). The sum of the number of extra-point kicks and field goals equaled the number of touchdowns. . Solve the system to find the number of each scoring play during the game.

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