basketball points system of equation help

Question

ok i need help. Math basketball team scores 103 points on a combination of 3 pointers, 2 point shots and 1 point shots. if 46 baskets were made and there are 9 more 2 point shots than 3 point shots, how many of each shot type was made?

Answer 1

103 = 3T + 2R + 1F

T+R+F = 46

R=9+T

Subtract 2nd from 1st

57 = 2T + R

57 = 2T + 9 + T

48 = 3T

T = 16 three pointers

R=25 two pointers

F= 5 one pointers