-x2-2xy+y2+x-4y I have to locate and classify all the critical points of this function. I took the first derivative of x and y and set them equal to 0, but this is the part im stuck at.  gx= -2x-2y+1=0 and gy= -2x+2y-4=0 I am not sure how to solve these system of equations.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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-x2-2xy+y2+x-4y

I have to locate and classify all the critical points of this function. I took the first derivative of x and y and set them equal to 0, but this is the part im stuck at. 

gx= -2x-2y+1=0 and gy= -2x+2y-4=0

I am not sure how to solve these system of equations.

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