In a basketball game, Marlene made 16 field goals. Each field goals was worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals. Let x represents the number of two-point field goals and y to model the situation. How many three-point field goals did Marlene make in the game?

Accepted Solution

Answer:The number of three-point field goals was [tex]7[/tex]Step-by-step explanation:Letx-----> the number of two-point field goals y-----> the number of three-point field goalswe know that[tex]x+y=16[/tex] [tex]x=16-y[/tex] -----> equation A[tex]2x+3y=39[/tex] ----> equation Bsubstitute equation A in equation B and solve for y[tex]2(16-y)+3y=39[/tex][tex]32-2y+3y=39[/tex][tex]y=39-32=7[/tex]