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7 December, 08:45

he first three steps in determining the solution set of the system of equations, y = - x2 - 2x + 8 and y = 2x + 11, algebraically are shown in the table. Which represents the solution (s) of this system of equations?

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Answers (2)
  1. 7 December, 08:56
    0
    The solutions are - 3 and - 1

    Step-by-step explanation:

    ∵ y = - x² - 2x + 8

    ∵ y = 2x + 11

    ∴ - x² - 2x + 8 = 2x + 11

    ∴ - x² - 2x - 2x + 8 - 11 = 0

    ∴ - x² - 4x - 3 = 0 ⇒ divide both sides by - 1

    ∴ x² + 4x + 3 = 0

    ∴ (x + 3) (x + 1) = 0

    ∴ x + 3 = 0 ⇒ x = - 3

    ∴ x + 1 = 0 ⇒ x = - 1

    ∴ The solutions are - 3 and - 1
  2. 7 December, 09:14
    0
    Question:

    Which represents the solution (s) of this system of equations?

    Answer:

    (-3,-1)
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