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? 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.

You start with the equations:

and

Then you say y = y, then

now you want to put all your numbers in one side of the equation and combine like terms in that side of the equation.

And now you have a quadratic equation, where you can determine the value of x using the Bhaskara method.

Then your solutions are x = -1 and x = -5.

each side has a different length.  

step-by-step explanation: