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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?

Respuesta :

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

Kaylee made [tex]6[/tex] two point shots and [tex]3[/tex] three point shots.

Explanation:

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

[tex]3x+2y=24[/tex]

For the second equation, you know that Kaylee scored [tex]3[/tex] more three point shots than two point shots.

[tex]y+3=x[/tex]

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

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