Question

Easton is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Easton scored a total of 21 points and made twice as many two point shots as three point shots. Write a system of equations that could be used to determine the number of two point shots Easton made and the number of three point shots he made. Define the variables that you use to write the system

Answer 1

2+3y=21

x=2y

Explanation:

Each two point shot scores 2 points, so xx two point shots would score 2x points. Each three point shot scores 3 points, so y three point shots would score 3y points. Therefore, the total number of points scored 2x+3yy equals 21

Since Easton scored twice as many two point shots as three point shots, he made more two point shots, so if we multiply 2 by the number of three point shots made, we will get the number of two point shots made, meaning x equals 2y