Question

Which represents the solution(s) of 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?

1) Set y = 0 in y = –x2 – 4x – 3
2) Factor each side of the equation
3) Use substitution to create a one-variable equation
4) Combine like terms onto one side of the equation

Answer 1

The next step is to 4) combine like terms onto one side of the equation.

Step-by-step explanation:

The next step in solving the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to combine like terms onto one side of the equation. So, we have -x2 – 4x – 3 - (2x + 5) = 0.