Question

A basketball player scored 24 times during one game. she scored a total of 38 ​points, two for each​ two-point shot and one for each free throw. How many​ two-point shots did she ​make? How many free​ throws?

Answer 1

The number of two-points shots made is 14

The number of free throws made is 10

What is the number of two-points shots and free throws made?

The first step is to formulate a set of linear equations that represent the information in the question:

x + y = 24 equation 1

2x + y = 38  equation 2

Where:

• x = number of two-point shots made
• y = number of free throws made

The linear equations would be solved using the elimination method.

In order to determine the value of x, take the following steps:

Subtract  equation 1 from  equation 2

x = 14

Substitute for x in  equation 1

14 + y = 24

Combine similar terms:

y = 24 - 14

Add similar terms together

y = 10

To learn more about linear equations, please check: brainly.com/question/25875552

#SPJ1