Help me, please, with this math.

Question

A basketball player scored 26 times during one game. She scored a total of 48 ​points, two for each​ two-point shot and one for each free throw. How many​ two-point shots did she ​make? How many free​ throws?

Answer 1

Let t = the number of 2-point shots and f = the number of free throws (worth one point)

t + f = 26 ------> f = 26 - t

2t + f = 48 -----> f = 48 - 2t

Since f equals two things, they equal each other.

26 - t = 48 - 2t

t = 22

f = 26 - 22

f = 4