reply to The problem with this question is that it is difficult to figure out how Ms. Thompson scored 34 points on 23 shots taken. On Ms. Thompsons', 23 shots were taken, and there were no three-pointers, how two-pointers, or free throws. To figure out this problem, you must first define the problem. The answer to this question requires two problems. The first equation is based on the number of points scored based on 2-pointers and free throws: T (2 pointers)+ F( Free Throws)= 34 Points The Second equation needed is to determine how many of each shot was made. T2+F=23 (Shots made) First, I solved for the number of two-pointers. I combined the equations. F=23-T. Without a number to solve this, I added this problem to my second equation as F. (23-T) + T2=34. Then you simplify. The -T will cancel out T2, leaving you with T. 23-T=34. Subtracting 23 from both sides leaves us with T=11. Then, I plug 11 into my second equation to determine how many free throws I made. T (2 pointers)+ F( Free Throws)= 34 Points, which turns into 11+F=23. Then, I subtract 11 from both sides. -11+F=23-11= F=12 To check shots made: 11+12=23