Question

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

Answer 1

(-2,4) or (-5,1)

explanation:

Answer 2

(- 2 ; 4) or (-5 ; 1)

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