Question

Each game consists of 2 pointers and 3 pointers. The A-period student made a total of 71 shots. Altogether, he scored 175 points. Write a system of equations that can help determine the total number of 2 pointers made and the total number of 3 pointers made. (6pts total )

Answer 1

x + y = 71

2x + 3y = 175

Explanation:

First equation:

For our system, we can allow x to represent the total number of 2 pointers made and allow y to represent the total number of 3 pointers made.

We know that the sum of the 2 pointers and 3 pointers equals the total number of shots made

Shots during first game + Shots during second game = Total number of shots

Since 71 shots were made in all, our first equation is given by:

x + y = 71

Second equation:

We know that the sum of the points earned form the 2 points and 3 pointers equals the total number of points:

(2 * number of shots) + (3 * number of shots) = total number of points

Since he scored 175 points, our second equation is given by:

2x + 3y = 175