Answer:
D
Step-by-step explanation:
Given the 2 equations
y = x + 3 → (1)
y = x² - 2x - 1 → (2)
Substitute y = x² - 2x - 1 into (1)
x² - 2x - 1 = x + 3 ← subtract x + 3 from both sides
x² - 3x - 4 = 0 ← in standard form
(x - 4)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 4 ⇒ y = 4 + 3 = 7 ⇒ (4, 7 )
x = - 1 ⇒ y = - 1 + 3 = 2 ⇒ (- 1, 2 )
