Answer:
Option (4)
Step-by-step explanation:
Given system of equations is,
y = -x²- 4x - 3
y = 2x + 5
To get the solution of the system of equations algebraically,
2x + 5 = -x²- 4x - 3
Now combine like terms onto one side of the equation.
-x² - (4x + 2x) - (3 + 5) = 0
x² + 6x + 8 = 0
Then factorize the equation,
x² + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) =0
(x + 2) (x + 4) = 0
x = -2, 4
Option (4) is the answer.
