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?

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

Question:

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

Answer:

(-3,-1)