Question

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

Answer 1

Data:


`( (11)/(5)) * ((x)/( -(1)/(9) ) ) = (2)/(5)`

Solving:

`( (11)/(5)) * ((x)/( -(1)/(9) ) ) = (2)/(5)`

`( (11)/(5)) * (x* (-9)/(1) ) = (2)/(5)`

`( (11)/(5)) * ((-9x)/(1) ) = (2)/(5)`

`(-99x)/(5) = (2)/(5)`
Product of extremes equals product of means:

`-99x*5 = 5*2`

`-495x = 10` simplify by (-1)

`495x = - 10`

`x = (-10)/(495)\:simplify\: (/5)/(/5) \to \boxed{\boxed{x = (-2)/(99)}}`
or

`x = -0.020202... \to \boxed{\boxed{x = - 0.0\overline{20}}}`