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mojhsa [17]
3 years ago
6

in a basketball game tatiana made 23 baskets . each of the baskets was worth either 2 or 3 points and Tatiana scored a total of

53 points . let x represent the number of two point baskets she made and y represent the number of 3 point baskets she made

Mathematics
2 answers:
natima [27]3 years ago
8 0
Here is the answer to you question!

Volgvan3 years ago
5 0

Answer:

<h2>n a basketball game tatiana made 23 baskets . each of the baskets was worth either 2 or 3 points and Tatiana scored a total of 53 points . let x represent the number of two point baskets she made and y represent the number of 3 point baskets she made</h2>

Step-by-step explanation:

We know that Tatiana made 23 baskets in a game.

x represents two-points baskets, and y represents three-points baskets.

If she scored 53 points, we would have the following relations

x+y=23, which represents the total number of baskets.

2x+3y=53, which represents the total number of points.

To solve this system, we multiply the first equation by -2, then sum and solve for y

\left \{ {{-2x-2y=-46} \atop {2x+3y=53}} \right.\\ y=7

Then, we replace this value to find the other one

x+y=23\\x+7=23\\x=23-7\\x=16

Therefore, Tatiana made 7 baskets of two points and 16 baskets of three points.

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