Question

Need help
Kinda forget everything

Answer 1

Option E

Explanation:

GIVEN :-

• β ≠ 3γ

TO FIND :-

• Value of x

SOLTION :-

`x - (\beta x)/(3\gamma) = \alpha`

Take 'x' common from L.H.S.

⇒
`x ( 1 - (\beta)/(3\gamma) ) = \alpha`

Substract the terms in the brackets

⇒
`x ((3\gamma - \beta )/(3\gamma) ) = \alpha`

Now , take the whole term in brackets to R.H.S.

⇒
`x = (\alpha )/((3\gamma - \beta )/(3\gamma) ) = \alpha((3\gamma)/(3\gamma - \beta)) = (3 \alpha \gamma)/(3\gamma - \beta )`

CONCLUSION :-

∴
`x = (3 \alpha \gamma)/(3\gamma - \beta )` (Option E)