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S.R

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## Homework Statement

Points S and T lie on the line 2x+y=3. If the length ST is 13 units, and the coordinates of S are (2, -1), determine all possible coordinate pairs for T, correct to two decimal places.

For simplicity, determine the coordinates for T, relative to S from the left.

## Homework Equations

a^2=b^2+c^2 (in this problem, the distance formula.)

## The Attempt at a Solution

I used a system of equations:

y=-2x+3

(2-x)^2+(-1-y)^2=13^2

This system is quite tedious. I used WolframAlpha to compute the solutions, however, they did not match the answer in my textbook.

Is this approach correct?

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