A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. The player scored 17 times. She scored 3 more 2-point field goals than 1-point free throws. The system of equations below represents the situation, where x is the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. x + y + z = 17x + 2y + 3z = 33y – x = 3Which matrix and solution represents the number of 1-point free throws, 2-point field goals, and 3-point field goals the player scored?
Answer
A
The player scored five 1-point free throws, eight 2-point field goals, and four 3-point field goals.
B
The player scored five 3-point field goals, eight 2-point field goals, and four 1-point free throws
C
The player scored seven 1-point free throws, four 2-point field goals, and six 3-point field goals.
D
The player scored seven 3-point field goals, four 2-point field goals, and six 1-point free throws.