I have the following problem:

Find and classify the stationary points of:

f_{(x,y)}=ln(2x+y+2)-2x-y

First I calculate the partial derivatives and set them 0.

fx_{(x,y)}=2/(2x+y+2) - 2

fy_{(x,y)}=1/(y+2(x+1)) -1

Than I have the following system of linear equations:

2/(2x+y+2) - 2=0

1/(y+2(x+1)) -1=0

as result I get x=-(y+1)/2 and y=(-2x+1)

I can find no points, for which this holds... Did I do some mistake in my calculations or can I say that for this function I have no stationary points?