x ^2 - y^2 = 55
x - y = 11
factor the first quation
(x + y) ( x - y) = 55 sub the second equation in for the second factor
(x + y) (11) = 55 divide both sides by 11
( x + y) = 5
So......
x - y = 11
x + y = 5 add these equations
2x = 16 divide both sides by 2
x = 8
And using x + y = 5 means that y = - 3
x ^2 - y^2 = 55
x - y = 11
factor the first quation
(x + y) ( x - y) = 55 sub the second equation in for the second factor
(x + y) (11) = 55 divide both sides by 11
( x + y) = 5
So......
x - y = 11
x + y = 5 add these equations
2x = 16 divide both sides by 2
x = 8
And using x + y = 5 means that y = - 3
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