The pair of points representing the solution set of this system of equations is (-6,29) and

(4, - 11)

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 19 → (1)

y + 4x = 5 → (2)

Rearrange (2) expressing y in terms of x by subtracting 4x from both sides

y = 5 - 4x → (3)

Substitute y = 5 - 4x into (1)

5 - 4x = x² - 2x - 19 ← subtract 5 - 4x from both sides

0 = x² + 2x - 24 ← in standard form

0 = (x + 6)(x - 4) ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 4 = 0 ⇒ x = 4

Substitute these values into (3) for corresponding values of y

x = - 6 : y = 5 + 24 = 29 ⇒ (6, 29)

x = 4 : y = 5 - 16 = - 11 ⇒ (4, - 11)

a

b

d

step-by-step explanation:

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step-by-step explanation: