-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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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