solve the system of equations

Question

y = x + 4
y = x^2 + 9x +16

Answer 1

x^2 + 9x +16 = x + 4

x^2 + 9x -x + 16 - 4 = -(x+4)

x^2 + 8x + 12 = 0

(x +2)(x+6) = 0

solve for x

x + 2-2 = 0 -2

x = -2

x - 6 -6 = 0-6

x = -6

(-2, 2), (-6 ,-2)

Answer 2

Typo

x + 6 -6 = 0-6
x = -6