alyssa scored 54 points in her basketball game. if she made 24 shots, how many of her shots were 2-pointers and how many were 3- pointers?

Question

answer with substitution or elimination and show all work

Answer 1

x is the number of 2-pointers

y is the number of 3-pointers

Solve the linear equations:

x + y = 24 (total number of shots is 24)

2*x + 3*y = 54 (total score is 54)

We solve with substitutions:

from first equation we have x=24-y

and we replace it on equation 2:

2*(24-y) + 3*y = 54

y = 6

x = 18. (24 - y)

Answer: 18 2-pointers and 6 3-pointers