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

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:

type="image/svg+xml"
src="/jax/includes/tinymce/jscripts/tiny_mce/plugins/asciisvg/js/d.svg"
sscr="-7.5,7.5,-5,5,1,1,1,1,1,300,200,func,sqrt(x^2-4),null,0,0,,,black,1,none,func,2-x,null,0,0,,,black,1,none"/>

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.