Question

tariq is a high school basketball player. in a particular game, he made some two point shots and some free throws (worth one point each). tariq made a total of 6 shots altogether and scored a total of 8 points. write a system of equations that could be used to determine the number of two point shots tariq made and the number of free throws he made. define the variables that you use to write the system. answer attempt 1 out of 2 let \\(\square =\\) let \\(\square =\\) system of equations: \\(\square\\) \\(\square\\)

Explanation:

Step1: Define Variables

Let \( x \) = number of two - point shots, \( y \) = number of free throws.

Step2: First Equation (Total Shots)

The total number of shots is 6, so \( x + y=6 \).

Step3: Second Equation (Total Points)

Two - point shots are worth 2 points, free throws 1 point, total points 8. So \( 2x + y = 8 \).

Answer:

Let \( x \) = number of two - point shots Tariq made
Let \( y \) = number of free throws Tariq made
System of Equations:
\( x + y=6 \)
\( 2x + y = 8 \)