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.

Option 4 is correct that is Combine like terms onto one side of the equation.

Step-by-step explanation:

Given System of Equations are

y = -2x² - 4x - 3   and y = 2x + 5

To solve the above system of equation algebraically.

First step already taken which is Both equations set equal.

we get,

-2x² - 4x - 3 = 2x + 5

Now to further solve it we have to move term from either of side to other side or combine them onto one side of the equation.

we get,

-2x² - 4x - 3 - 2x - 5 = 0

Therefore, Option 4 is correct that is Combine like terms onto one side of the equation

add an image

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1