Question

Jace is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some three point shots. Jace scored a total of 15 points and made twice as many free throws as three point shots. 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

Let

the number of free throws made, x, and the number of three point shots made, y.​

Total 15 points, means:

x + y = 15

or

y = 15 - x

Then,

Jace made twice as many free throws (x) as 3 points (y), we can write:

y = (1/2)x

Now, we graph both equations. Graph shown below: