Question 806270
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Step 1:  Swear on the life of your first born that you will never again treat an upper case letter and a lower case letter as the same variable.  A is not A, b is not B, and c is not C.


Step 2:  Isolate the term with the *[tex \Large b] in it:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{3}{a}\ -\ \frac{8}{c}\ =\ \frac{4}{b}]


Apply the LCD of *[tex \Large ac] to the LHS only:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{3c\ -\ 8a}{ac}\ =\ \frac{4}{b}]


Take the reciprocal of both sides and multiply by 4


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ b\ =\ \frac{4ac}{3c\ -\ 8a}]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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