Solve this application problem using a system of equations: In a basketball game, Alan scored 30 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?

Answer 1

e + w = 11 ... 2 e + 2 w = 22

3 e + 2 w = 30

subtracting equations ... e = 8