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15 March, 18:27

Solve the system of equations.

y=-4x

y = x2 - 12

+4
Answers (1)
  1. 15 March, 18:37
    0
    ( - 6, 24) and (2, - 8)

    Step-by-step explanation:

    Given the 2 equations

    y = - 4x → (1)

    y = x² - 12 → (2)

    Substitute y = x² - 12 into (1)

    x² - 12 = - 4x (add 4x to both sides)

    x² + 4x - 12 = 0 ← in standard form

    (x + 6) (x - 2) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 6 = 0 ⇒ x = - 6

    x - 2 = 0 ⇒ x = 2

    Substitute these values into (1) for corresponding values of y

    x = - 6 : y = - 4 ( - 6) = 24 ⇒ ( - 6, 24)

    x = 2 : y = - 4 (2) = - 8 ⇒ (2, - 8)
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