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Ken and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Ken starts with $10$ points, and his little brother starts with $30$ points. Ken gets $2$ points for every successful shot, and his brother, since he is younger, gets $1$ point for each successful shot. Eventually, the brothers will have a tied score in the game. How many additional shots will each brother have made?$\newline$Write a system of equations, graph them, and type the solution.$\newline$____ shots$\newline$