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: it's a

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116