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I need the answer to this please

I need the answer to this please-example-1

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Answer:

C

Explanation:

Given the 2 equations

y = x² - x - 3 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - x - 3 into (2)

x² - x - 3 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

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

x = - 4 : y = 12 + 5 = 17 ⇒ (- 4, 17) is a solution

x = 2 : y = - 6 + 5 = - 1 ⇒ (2, - 1) is a solution

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