Solve for x and y : x^2-y^2=4; x+y=2

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x^2 - y^2 = 4

x + y = 2

This system can also be solved graphically.  First, set each equation to the form y=

x^2 - y^2 = 4          y = sqrt(x^2 - 4)

x + y = 2                 y = 2 - x

Here is the graph:

The...

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x^2 - y^2 = 4

x + y = 2

This system can also be solved graphically.  First, set each equation to the form y=

x^2 - y^2 = 4          y = sqrt(x^2 - 4)

x + y = 2                 y = 2 - x

Here is the graph:

The point of intersection of the two graphs is (2, 0).

Therefore, x = 2 and y = 0.

If you do not have a graphing calculator, refer to the attached website.  It will graph equations and calculate the point of intersection.

 

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