x^2-y^2=8
x-y=2
Using the second thing, we can add y to both sides and subtract 2 from both sides....this gives
y = x - 2 and substituting this into the first equation, we have
x^2 - (x - 2)^2 = 8 expand and simplify
x^2 - (x^2 - 4x + 4) = 8
x^2 - x^2 + 4x - 4 = 8
4x - 4 = 8 add 4 to both sides
4x = 12 divide by 4
x = 3
And, since y = x - 2. we have y = 3 - 2 = 1
So....our solution is (3, 1)
