Hi

Im having trouble with finding the equation of an eigenline. I can see that

$\displaystyle \left(\begin{array}{cc} 1 & 2\\

3 & 2\end{array}\right)\left(\begin{array}{c}

x\\

y\end{array}\right)=4\left(\begin{array}{c}

x\\

y\end{array}\right)

$

gives the following equations

$\displaystyle x+2y=4x$

$\displaystyle 3x+2y=4y$

Which is

$\displaystyle -3x+2y=0$

$\displaystyle 3x-2y=0$

But I'm not sure how to reduce these equations to find the equation of the eigenline

$\displaystyle 3x-2y=0$

It's probably simple but I just can't see it.

Thanks in advance.