Question

How do I set this up?
In a basketball game, a player has scored 37 points on a total of 17 baskets consisting of 2-pointers and 3-pointers. How many of each basket has he scored?

Answer 1

Let x = the number of 2 pointers. Let y = the number of 3 pointers

So you have

x+y=17
3x+2y=37

Answer 2

Is it okay if I have 2x+3y=37 written down instead?

Answer 3

You are correct. Sorry, I'm multitasking.

x+y=17
2x+3y=37

Answer 4

Would the answer be:
2-pointers:14
3-pointers: 3

Answer 5

You got it.

Answer 6

Thank you for your help :)