Question

Tim Duncan scored 32 points in a basketball game without scoring any 3-point shots, he scored 21 times. He made several free throws worth 1 point, and several regular points, worth 2 points. How many free throws did he make? How many 2 pointers did he make? Use solving with systems.

Answer 1

b

Explanation:

Answer 2

x = regular 2 point shots and y = free throws

x + y = 21.....multiply by -1
2x + y = 32
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-x - y = -21 (result of multiplying by -1)
2x + y = 32
--------------add
x = 11....so he scored 11 regular 2 point shots

x + y = 21
11 + y = 21
y = 21 - 11
y = 10....he scored 10 free throws