Tammy and Luke take part in a game in which they earn the same number of points for each catch and lose the same number of points for each miss. Tammy makes 5 catches and misses 1, ending the game with 23 points. Luke earns 8 catches and has 5 misses. Luke ends the game with 30 points.

Write a system of equations that describes Tammy and Luke's outcomes. Use x to represent the number of points for a catch and y to represent the number of points for a miss.



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