Question

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?

Answer 1

Answer:

The number of three-point field goals was $7$

Step-by-step explanation:

Let

x-----> the number of two-point field goals

y-----> the number of three-point field goals

we know that

$x+y=16$

$x=16-y$ -----> equation A

$2x+3y=39$ ----> equation B

substitute equation A in equation B and solve for y

$2(16-y)+3y=39$

$32-2y+3y=39$

$y=39-32=7$