Question

Kaylee is a high school basketball player. In a particular game, she made some two point shots and some three point shots. Kaylee scored a total of 24 points and made 3 more three point shots than two point shots. Graphically solve a system of equations in order to determine the number of two point shots made, x,x, and the number of three point shots made, yy. How would you graph this?

Answer 1

Kaylee made
`6` two point shots and
`3` three point shots.

Step-by-step explanation:

You know that a two point shot would be worth
`2` points. You also know that a three point shot would be worth
`3` points, and that she scored a total of
`24` points. Using this information you can create the first equation:

`3x+2y=24`

For the second equation, you know that Kaylee scored
`3` more three point shots than two point shots.

`y+3=x`

You would then graph it as a system of equations. Using the graph, you can figure out the solution of the system of equations,
`(6,3)`. For the two equations above, we made two point shots
`x`, and we made three point shots
`y`, so Kaylee made
`6` two point shots and
`3` three point shots.

Answer 2

Points made on the x-axis and shots taken on the y-axis