Math question - need help

Question

LeBron scored a total of 37 points by making a total of 19 baskets (3-pt, 2-pt, free throws). The number of 2-pt baskets he made was 5 more than the number of 3-pt baskets and free throws combined.

How many free throws did he make?

How many 2-pt baskets did he make? 

How many 3-pt baskets did he make?

Answer 1

x+y+z = 19

3x+2y+z = 37

y=5+ x+z

3 equations 3 unknowns,

x=3 pointer

y =2 pointer

z = free throw 1 pointer

use substitution elimination or matrix algebra

3 three pointers

12 two pointers

4 free throws

3+12+4= 19

12 = 5+3+4

3(3)+2(12)+4 = 9+24+4 = 37