Question

if possible, solve the nonlinear system of equations.
x^2+y^2=58
y-x=4

Answer 1

from the 2nd ---> y = x+4
sub into the 1st

x^2 + (x+4)^2 = 58
2x^2 + 8x+16-58 = 0
x^2 + 4x - 21 = 0
(x+7)(x-3) = 0
x = -7 or x = 3

if x = -7, y = -7+4 = -3
if x = 3 , y = 3+4 = 7

x=3, y=7
or
x=-7, y = -3

Answer 2

thank you x)