Solve the system of equations. y=x+6y=x2+8x+16

Answer:
(- 2 ; 4) or (-5 ; 1)
Step-by-step explanation:
y = x + 6
y = x² + 8x + 16
x + 6 = x² + 8x + 16
x² + 8x + 16 - x - 6 = 0
x² + 7x + 10 = 0
x² + 5x + 2x + 10 = 0
x(x + 5) + 2(x + 5) = 0
(x + 2)(x + 5) = 0
x + 2 = 0 => x₁ = - 2
x + 5 = 0 => x₂ = - 5
y₁ = - 2 + 6 => y₁ = 4
y₂ = - 5 + 6 => y₂ = 1