Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Determine whether each expression is equivalent to

2x + 4y – 5 + 3x + 8 – 4y.

Check the box for Yes and leave blank for No.

x + x + y + y + y + y - 5 + x + x + x + 8 - 4y


6xy + 3 - 4y


-8y + 5x - 3


5x + 3

Sagot :

akposevictor

The algebraic expressions, [tex]x + x + y + y + y + y - 5 + x + x + x + 8 - 4y[/tex] and [tex]5x + 3[/tex] are equivalent to [tex]2x + 4y - 5 + 3x + 8 - 4y[/tex]

To determine whether each expression is equivalent to [tex]2x + 4y - 5 + 3x + 8 - 4y[/tex], apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify [tex]2x + 4y - 5 + 3x + 8 - 4y[/tex] as follows:

Add like terms

[tex]2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3[/tex]

Next, compare or simplify where necessary each of the given algebraic expressions with [tex]5x + 3[/tex]

First Option

[tex]x + x + y + y + y + y - 5 + x + x + x + 8 - 4y[/tex]

Add like terms together

[tex]2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3[/tex]

Therefore, [tex]x + x + y + y + y + y - 5 + x + x + x + 8 - 4y[/tex] is equivalent to [tex]2x + 4y - 5 + 3x + 8 - 4y[/tex]

  • Check the box for YES.

Second Option:

[tex]6xy + 3 - 4y[/tex] (cannot be simplified further)

[tex]6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y[/tex]

Therefore:

  • Leave the box BLANK for NO.

Third Option:

[tex]-8y + 5x - 3[/tex] (cannot be simplified further)

[tex]-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y[/tex]

Therefore:

  • Leave the box BLANK for NO.

Fourth Option:

[tex]5x + 3[/tex]

[tex]5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y[/tex]

Therefore:

  • Check the box for YES.

Thus, the algebraic expressions that are equivalent to  [tex]2x + 4y - 5 + 3x + 8 - 4y[/tex] are:

  • [tex]x + x + y + y + y + y - 5 + x + x + x + 8 - 4y[/tex]
  • [tex]5x + 3[/tex]

Learn more about algebraic expressions here:

https://brainly.com/question/15122459

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.