Hey everybody,

So I have been doing a few exercises on complex numbers, but there is one I can't seem to get out.

If x and y are real, solve the equation:

$\displaystyle \frac{jx}{1+jy}=\frac{3x+j4}{x+3y}$

I started manipulating it to make it more manageable:

$\displaystyle \frac{jx(x+3y)}{1+jy}=3x+j4$

$\displaystyle jx^2+j3xy=(3x+j4)(1+jy)$

etc.

I have the feeling I'm going nowhere with it. Could somebody please give me a hand?

Cheers,

Evanator