Question

Brandon is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Brandon scored a total of 16 points and made twice as many three point shots as two point shots. Write a system of equations that could be used to determine the number of two point shots Brandon made and the number of three point shots he made. Define the variables that you use to write the system.
Answer
Attempt 1 out of 2

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System of Equations:

Answer 1

Let x = the number of two-point shots Brandon made.
Let y = the number of three-point shots Brandon made.

System:
1) 2x + 3y = 16 (total points)
2) y = 2x (twice as many three‑point shots as two‑point shots)

(If you want the solution: substitute y = 2x into the first equation: 2x + 3(2x) = 16 → 8x = 16 → x = 2, y = 4.)