Question

Mar 15, 8:58:09 AM

Hailey is a high school basketball player. In a particular game, she made some three
point shots and some free throws (worth one point each), Hailey scored a total of 14,
points and made 4 times as many free throws as three point shots. Write a system of
equations that could be used to determine the number of three point shots Hailey
made and the number of free throws she made. Define the variables that you use to
write the system

Answer 1

just here for the points :l

Answer 2

`3a + b = 14`

`b = 4a`

Explanation:

Key:

a = 3 point throws

b = Free throws

Total points = 14

Required

Determine the system of equations

`Total\ points = 14` implies that:

`3 * a + b = 14`

`3a + b = 14`

4 times as many b as a implies that:

`b = 4 * a`

`b = 4a`

So, the system of equations are:

`3a + b = 14`

`b = 4a`