Solve the problem using the elimination method.
-In a basketball game, Will scored 35 points, consisting only of three-point shots and two-point shots. He made a total of 15 shots. How many shots of each type did he make?
A)two-point shots: 10; three-point shots: 5
B)two-point shots: 11; three-point shots: 4
C)two-point shots: 9; three-point shots: 6
D)two-point shots: 5; three-point shots: 10

Question

Quizplus · Accepted Answer

Let x be the number of two-point shots and y be the number of three-point shots. We have two equations: x + y = 15 (total shots) and 2x + 3y = 35 (total points). Solving these equations using the elimination method, we find x = 10 and y = 5.

Solve the Problem Using the Elimination Method