SOLUTION: Im REALLY stuck on this Algebra Equasion, Please Help Me!!! I have these two formulas 12-x^2 -2xy = 0 12-y^2 - 2xy = 0 for some reason x and y are both 2 how do you get this

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Question 305894: Im REALLY stuck on this Algebra Equasion, Please Help Me!!!
I have these two formulas
12-x^2 -2xy = 0
12-y^2 - 2xy = 0
for some reason x and y are both 2
how do you get this
i tried and got
y= 6/x -0.5x tried to sub into second one but gets messy any way to do this on a calculator by any chance i have a Ti-83 but i want to know how to do it algebraically hmmmmm........
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
1.
2.
Use eq. 1 to solve for y.
1.

From that, then,

and

Substitute into eq. 2,
2.

Two solutions:

and
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No real solution.
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When ,

When ,

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(-2,-2) and (2,2) are the solutions.
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You are searching for the intersection point between two curves.
The first curve is
(in red below)
The second curve needs to be worked out by completing the square for the second equation,

(in blue and green below)
The curves and the two solution points are shown below.