Question

Kim scored 33 points at her basketball game game with a combination of 2-point shots and 3-point shots. If she made a total of 15 baskets, how many of each kind oh shot did she make?

Answer 1

3 3-point shots

12 2-point shots

Explanation:

x = 2-point shots

y = 3-point shots

x + y = 15

2x + 3y = 33

x = 15-y

30-2y + 3y = 33

30 + y = 33

y = 3

x = 12

Answer 2

(12, 3)

Explanation:

write the equation:

if x = number of 2 point shots

and y = number of 3 point shots

2x + 3y = 33

write another equation with the total baskets

x + y = 15

plug them both into desmos and find the solution

(12, 3)

she made 12 2-point shots and 3 3-point shots