Question

The first step in determining the solution to the system of equations, y = -x2 - 4x - 3 and y = 2x + 5, algebraically is to set the two equations equal as -x2 - 4x -3 = 2x + 5. What is the next step?

Answer 1

d

Explanation:

Combine like terms onto one side of the equation.

Answer 2

See below

Explanation:

Next step is to gather 'like' terms

-x2 - 4x -3 = 2x + 5.

x^2 + (4x + 2x) + (3+5) = 0 then simplify

x^2 + 6x + 8 = 0 then factor

(x+4)(x+2) = 0

so either of these terms = 0

x+4 = 0 means x = -4

x+ 2 = 0 means x = - 2