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