Answered

IDNLearn.com offers a unique blend of expert answers and community insights. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

The first step in determining the solution to the system of equations, [tex]$y=-x^2-4x-3$[/tex] and [tex]$y=2x+5$[/tex], algebraically is to set the two equations equal as [tex]$-x^2-4x-3=2x+5$[/tex].

What is the next step?

A. Set [tex][tex]$y=0$[/tex][/tex] in [tex]$y=-x^2-4x-3$[/tex]
B. Factor each side of the equation.
C. Use substitution to create a one-variable equation.
D. Combine like terms onto one side of the equation.

Sagot :

GinnyAnsweridn
To solve the system of equations algebraically, the next step after setting the two equations equal to each other, [tex]\(-x^2 - 4x - 3 = 2x + 5\)[/tex], is to combine like terms onto one side of the equation.

1. Set the equations equal:
[tex]\(-x^2 - 4x - 3 = 2x + 5\)[/tex].

2. Move all terms to one side:
[tex]\[ -x^2 - 4x - 3 - 2x - 5 = 0 \][/tex]

3. Combine like terms:
[tex]\[ -x^2 - 6x - 8 = 0 \][/tex]

So, combining like terms onto one side results in the quadratic equation:
[tex]\[ -x^2 - 6x - 8 = 0 \][/tex]

This completes the next step in solving the system of equations algebraically.
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.