Question

what is the solution to the equation fraction 1 over 6x = 2? x = fraction 1 over 12 x = fraction 1 over 3 x = 3 x = 12

Answer 1

$If\ \dfrac{1}{6x}=2\to\dfrac{1}{6x}=\dfrac{2}{1}\ \ \ \ |cross\ multiply\\\\2\cdot6x=1\cdot1\\\\12x=1\ \ \ \ |divide\ both\ sides\ by\ 12\\\\\boxed{x=\dfrac{1} {12}}$

$If\ \dfrac{1}{6}x=2\ \ \ \ |multiply\ both\ sides\ by\ 6\\\\\boxed{x=12}$

Answer 2

1/6x = 2.....multiply both sides by the reciprocal 6/1
(6/1)(1/6)x = 2(6/1)
1x or just x = 12