# Determine the coordinates of the point

• May 3rd 2009, 11:02 PM
zorro
Determine the coordinates of the point
Show that the line $
5x+3y+ \lambda x
$
= $
2 \lambda y -6
$
always passes from a fixed point . Determine the coordinate of the point.
• May 4th 2009, 07:28 AM
red_dog
The equation can be written as

$\lambda(x-2y)+5x+3y+6=0$

Then $\left\{\begin{array}{ll}x-2y=0\\5x+3y=-6\end{array}\right.$

Now solve the system.