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?

answers are:

Set y = 0 in y = - x2 - 4x - 3.

Factor each side of the equation.

Use substitution to create a one-variable equation.

Combine like terms onto one side of the equation.

Combine like terms onto one side of the equation

Step-by-step explanation:

Given the first step in determining the solution to the system of equations,

y = - x2 - 4x - 3 and y = 2x + 5, algebraically as setting the two equations equal as shown: - x2 - 4x - 3 = 2x + 5, the next step will be to combine like terms onto one side of the equation. The like terms are the terms containing the variable x as shown;

-x²-4x-2x = 5+3

As we can see, the term containing x in the right hand side of the equation (i. e 2x) are being brought to the left side of the equation. This will be the next step in the calculation