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On december 13th versus the washington wizards, shaquille o'neal scored his season high in points, 40. His 40 points were scored all on free throws and two point baskets. He made a total of 25 shots. How many two points baskets did shaq make? Define variables, write and solve algebraic equations, and state the final answer in a complete sentence.

Respuesta :

MrGumby

Answer:

Shaquille made 10 two-point baskets and 15 free throws.

Step-by-step explanation:

To solve this, we need to set up a system of equations in which the first equation is the total number of baskets. Let x equal free throws and y equal two-point baskets.

x + y = 25

The next equation can be for his total number of points. In this one, two-point baskets must be multiplied by 2, since he gets 2 points for each one he makes.

x + 2y = 40

Now we can use elimination to solve. First multiply the first equation by -1 and then add together.

-x - y = -25

x + 2y = 40

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y = 15

Now that we have the value of y, we can solve for x.

x + y = 25

x + 15 = 25

x = 10