Jaxson is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two point shots. Jaxson scored a total of 18 points and made 3 more two point shots than free throws. Determine the number of free throws Jaxson made and the number of two point shots he made.

Respuesta :

Jaxson made 4 free throws and 7 two points shots.

Step-by-step explanation:

Given,

Total points made by Jaxson = 18 points

Free throw = 1 point

Let,

x be the number of free throws

y be the number of two point shots

According to given statement;

x+2y=18     Eqn 1

y = x+3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

[tex]x+2(x+3)=18\\x+2x+6=18\\3x=18-6\\3x=12[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{12}{3}\\x=4[/tex]

Putting x=4 in Eqn 2

[tex]y=4+3\\y=7[/tex]

Jaxson made 4 free throws and 7 two points shots.

Jaxson made 4 free throws and 7 two point shots