Question

A basketball player scored 26 points in a recent basketball game without making any 3-point shots. she scored 19 times, making several free throws worth 1 point each and several field goals worth two points each. how many 2-point field goals did she make?

Answer 1

Assume x = 1 point shot, y = 2 points shot
x + y = 19
x + 2y = 26

`x = 19 - y`
Substitute that into

`19 - y + 2y = 26 \\ 19 + y = 26 \\ y = 7`
Substitute that into

`x = 19 - 7 \\ x = 12`
A: She made 7 two-point field goals.

Hope this helps. - M