I will assume your first equation has a typo, then
y = 16-x
plug into the 2nd
x^2 + (16-x)^2 = 128
2x^2 - 32x +128 = 0
x^2 - 16x + 64 = 0
(x-8)^2 = 0
take over, compare your answer to
http://www.wolframalpha.com/input/?i=plot+x%2By%3D16,++x%5E2+%2By%5E2+%3D128
solve the system of equations algebraically for real values of x and y
{ x+u=16
x^2 +y^2 =128
1 answer