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 three-point baskets she made . write a system of equations to represent the situation and solve the system to find out how many two point and three point baskets tatiana made.

Step-by-step explanation:

Givens:

The expression for the 23 baskets made by Tatiana would be:

In words, the sum of both type of scored baskets sum 23.

The expression for the total points scored would be:

In words, baskets of two points and three points sum 53 total points scored by Tatiana.

Now, we isolate in the first equation and replace it in the second equation:

Replacing this value in the first equation, we have:

Therefore, Tatiana scored 7 three points baskets, and 16 two-points baskets.

answer: do you still need this?

a negative exponent is translated as follows:

so, we have