Please suggest appropriate substitution to reduce it to separable form
$\frac{dy}{dx} = \frac{4x+7y+2}{4x+7y+3} $
let $z=4x+7y$ then $\frac{dz}{dx}=4+7\frac{dy}{dx}$ $ \frac {dy}{dx}= \frac17 (\frac{dz}{dx}-4) $ $\frac 17 (\frac {dz}{dx}-4) = \frac {z+2}{z+3}$ please help further now i need the value of $\frac {dz}{dx}$