Question

Solve the equation2/7=4/5+9a

Answer 1

The given equation is

`(2)/(7)=(4)/(5)+9a`

First, we subtract 4/5 from each side.

`\begin{gathered} (2)/(7)-(4)/(5)=(4)/(5)-(4)/(5)+9a \\ 9a=(10-28)/(35) \\ 9a=(-18)/(35) \end{gathered}`

Then, we divide the equation by 9.

`\begin{gathered} (9a)/(9)=(-18)/(35\cdot9) \\ a=-(2)/(35) \end{gathered}`

Hence, the solution is -2/35.