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 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 plus y plus z is equal to 17 x plus 2 y plus 3 z is equal to 33 y minus x is equal to 3 Which 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 3 by 4 matrix, row 1, column 1, 1 column 2, 0 column 3, 0 column 4, 5 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, 8 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 4 The player scored five 1 -point free throws, eight 2 -point field goals, and four 3 -point field goals.
B
the 3 by 4 matrix, row 1, column 1, 1 column 2, 0 column 3, 0 column 4, 7 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, 4 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 6 The player scored seven 3 -point field goals, four 2 -point field goals, and six 1 -point free throws.
C
the 3 by 4 matrix, row 1, column 1, 1 column 2, 0 column 3, 0 column 4, 7 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, 4 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 6 The player scored seven 1 -point free throws, four 2 -point field goals, and six 3 -point field goals.
D
the 3 by 4 matrix, row 1, column 1, 1 column 2, 0 column 3, 0 column 4, 5 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, 8 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 4 The player scored five 3 -point field goals, eight 2 -point field goals, and four 1 -point free throws