solve the system of equations algebraically for real values of x and y

{ x+y=16 x^2+y^2=128

a. (6,6)
b. (8,6)
c. (9,8)
d. (8,8)
e. no solution

1 answer

hint:
from x+y = 16 ----> y = 16-x
sub that into the 2nd equation and solve for x
using your method of solving quadratics

let me know what you get