Simplify the given equation and graph

x^2-xy+y^2-3=0

(please answer. Needed for my studies tonight. Thanks!)

PS: i will really appreciate your response. :)

http://www.wolframalpha.com/input/?i=plot+x%5E2-xy%2By%5E2-3%3D0

nice rotated ellipse.

This is a good equation for you to use in studying or reviewing the topic of rotation of conics.
Obviously I could not possible teach you that on here in one post. When I last taught this about 20 years ago, it would usually take a week for the topic.