Answer:
Option E
Step-by-step explanation:
GIVEN :-
TO FIND :-
SOLTION :-
[tex]x - \frac{\beta x}{3\gamma} = \alpha[/tex]
Take 'x' common from L.H.S.
⇒ [tex]x ( 1 - \frac{\beta}{3\gamma} ) = \alpha[/tex]
Substract the terms in the brackets
⇒ [tex]x (\frac{3\gamma - \beta }{3\gamma} ) = \alpha[/tex]
Now , take the whole term in brackets to R.H.S.
⇒ [tex]x = \frac{\alpha }{\frac{3\gamma - \beta }{3\gamma} } = \alpha(\frac{3\gamma}{3\gamma - \beta}) = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex]
CONCLUSION :-
∴ [tex]x = \frac{3 \alpha \gamma}{3\gamma - \beta }[/tex] (Option E)
