8^-1 /y +3^-1 =-3

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- Nov 28th 2006, 03:13 AMjerryramosPlease Help step by step
8^-1 /y +3^-1 =-3

- Nov 28th 2006, 03:46 AMtopsquark
$\displaystyle \frac{8^{-1}}{y} + 3^{-1} = -3$

$\displaystyle \frac{1}{8y} + \frac{1}{3} = -3$

I'm going to clear the fractions: The least common multiple of 8y and 3 is 24y.

$\displaystyle 24y \left ( \frac{1}{8y} + \frac{1}{3} \right ) = 24y \cdot (-3)$

$\displaystyle 3 + 8y = -72y$

$\displaystyle 3 + 8y - 8y = -72y - 8y$

$\displaystyle 3 = -80y$

$\displaystyle y = - \frac{3}{80}$

-Dan