Solve using a system of three linear equations.A basketball player scored 22 points in a game. The number of three-point field goals the player made was 14 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 13 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game.
A. 5 free throws; 1 two-point field goals; 7 three-point field goals
B. 5 free throws; 7 two-point field goals; 1 three-point field goals
C. 5 free throws; 8 two-point field goals; 3 three-point field goals
D. 6 free throws; 7 two-point field goals; 4 three-point field goals
Answer: B
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