Answer:
<h2>Tatiana scored 7 three points baskets, and 16 two-points baskets.</h2>
Step-by-step explanation:
Givens:
- Tatiana made 23 baskets.
- represents the two-point baskets.
- represents the three-point baskets.
- Tatiana scored 53 points.
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.