What is the system of equations

Question

Zoe is a high school basketball player. In a particular game, she made some free throws (worth one point each) and some two point shots. Zoe made a total of 11 shots altogether and scored a total of 15 points. Write a system of equations that could be used to determine the number of free throws Zoe made and the number of two point shots she made. Define the variables that you use to write the system.

Answer

Answer 1

Let x = number of free throws and y = number of two points shots

x + y = 11

x + 2y = 15

Subtract the equations to get -y = -4. So, y = 4 and x = 7.

7 free throws and 4 two points shots