Question

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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.
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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?
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Answer 1

The next step is to combine like terms on each side of the equation.

Step-by-step explanation:

The next step in solving the system of equations -x² - 4x-3= 2x + 5 and y = 2x + 5 algebraically is to combine like terms on each side of the equation. This will give us a single variable equation that we can solve for the value of x.

We can start by adding 2x to both sides of the equation -x² - 4x-3= 2x + 5. This eliminates the 2x term on the right side.

Next, we can rearrange the terms to bring all the terms to one side of the equation, which will give us a quadratic equation: -x² - 6x - 8 = 0.

Learn more about Solving system of equations algebraically