Question

What is the answer to (11 over 5) ( x – 1/9) = 2 over 5

Answer 1

Data:

$( \frac{11}{5}) * (\frac{x}{ -\frac{1}{9} } ) = \frac{2}{5}$

Solving:
$( \frac{11}{5}) * (\frac{x}{ -\frac{1}{9} } ) = \frac{2}{5}$
$( \frac{11}{5}) * (x* \frac{-9}{1} ) = \frac{2}{5}$
$( \frac{11}{5}) * (\frac{-9x}{1} ) = \frac{2}{5}$
$\frac{-99x}{5} = \frac{2}{5}$
Product of extremes equals product of means:
$-99x*5 = 5*2$
$-495x = 10$ simplify by (-1)
$495x = - 10$
$x = \frac{-10}{495}\:simplify\: \frac{\div5}{\div5} \to \boxed{\boxed{x = \frac{-2}{99}}}$
or
$x = -0.020202... \to \boxed{\boxed{x = - 0.0\overline{20}}}$