Easton is a high school basketball player. in a particular game, he made some two point shots and some three point shots. easton scored a total of 21 points and made twice as many two point shots as three point shots. write a system of equations that could be used to determine the number of two point shots easton made and the number of three point shots he made. define the variables that you use to write the system.

x + y = 21 Equation 1 and

2x = y Equation 2

Explanation: let x be the number of 2 points shots

While y be the number of 3 point shots

A total of the 2 point shots and the 3 point shots equals 21.(equation 1)

Also if 2 point shots is twice 3 point shots it means 2x=y.(equation 2).

To know the number of 2 point shots, simply substitute y in equation 1 with equation 2.

That is x + 2x = 21

X(1 + 2) = 21

3x= 21

X = 21/3

X = 7

Substitute the value of x in equation 2

2(7) = y

14 = y

part 1:

let x be the number of two point shots made

let y be the number of three point shots made

the equations are:

y=2x

2x+3y=21

Explanation:

Every two-pointer he gets is 2x. Every 3 pointer he gets would be 3x. In total we are told he scored 21 points. This means the equation must look like:

2x+3y=21

We are given that for every three-point shot (y) made he doubles it with a 2 point shot (x). This tells us that for every, one shot he makes of y it is doubled by x.

the second equation would look like 2x=y or y=2x

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