Question

Fwam is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some three point shots. Fwam made a total of 10 shots altogether and scored a total of 18 points. Graphically solve a system of equations in order to determine the number of free throws made, x, and the number of three point shots made, y.

Answer 1

x = 6 ans y=4

Explanation:

The number of free throws made = x

The number of three points shots made = y

We can make an equation

x+y= total shots made

x+y= 10

So if we want "x",

x=10-y (First equation)

x is one point

y is three point

We can make another equation on how much points gained

(1)x + 3(y) = total points gained

x + 3y =18

If we want "x" ,

x =18-3y (second equation).

Now that we got two equation solve the question with simultaneous equations

x=10-y

x=18-3y

Substitute "x=18-3y" into equation 1

18-3y=10-y

10-y=18-3y

3y-y=18-10

2y=8

y=4 (Three points shots)

x=10-y

x=10-4

x=6 (Free throws made)

Therefore , x=6 and y=4