Question 528839
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a) Multiply both sides by *[tex \Large -3] in order to get rid of the denominator on *[tex \Large x] and set you up to have a positive sign on *[tex \Large x] coefficient once the *[tex \Large x] term is moved to the LHS).  Then add *[tex \Large 2x] to both sides to put the *[tex \Large x] term in the LHS.  Now you have standard form which is *[tex \Large Ax\ +\ By\ =\ C].  The positive sign on the *[tex \Large x]-coefficient is not strictly necessary for Standard Form -- the only restriction is for the coefficents to be integers -- but I do it for neatness sake.


b) Pick a value for *[tex \Large x].  It can be anything you like but a small integer divisible by the coefficient on *[tex \Large y] will make the arithmetic easier and will give you a nice neat integer result.  Substitute this value for *[tex \Large x] and then solve the resulting single-variable equation for *[tex \Large y].


Create an ordered pair *[tex \Large \left(x,\,y\right)] using the selected value of *[tex \Large x] and the calculated value of *[tex \Large y].


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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