Select the correct answer.

What is the solution set of y = x2 + 2x + 7 and y=x+77

OA { (0,7), (-1, 6) }

O B. { (0,7), (-7, 0) }

OC. { (0,7), (1,8) }

D. { (-2, 0), (4,0) }

A

Step-by-step explanation:

Given the 2 equations

y = x² + 2x + 7 → (1)

y = x + 7 → (2)

Substitute y = x² + 2x + 7 into (2)

x² + 2x + 7 = x + 7 (subtract x + 7 from both sides)

x² + x = 0 ← factor out x from each term on the left side

x (x + 1) = 0

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 → y = 0 + 7 = 7 ⇒ (0, 7)

x = - 1 → y = - 1 + 7 = 6 ⇒ ( - 1, 6)