afleeger212
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
2/3n=-12
n=

Sagot :

therealdarg0s

Answer:

n=-18

Step-by-step explanation:

Steps:

multiply 3 by both sides of the equation

  1. [tex]3(\frac{2}{3} )=(-12)3[/tex]

2. cross out the 3 from [tex]3(\frac{2}{3} )[/tex] and you will get 2 and then do -12 x 3 and you will get -36.

3. you now have 2n=-36

4. divide both sides by 2 to isolate n by itself.

[tex]\frac{2n}{2} =\frac{-36}{2}[/tex]

5. divide by crossing out 2 and 2 on the right and then do -36 ÷ 2 which will give you n= -18

Hope this helps :) if you have any questions let me know.

Hi!

To find the value of n in the given equation, multiply both sides by 3.

That way, you'll clear the fractions and solving for n will be easier.

[tex]\implies\boldsymbol{\displaystyle\frac{2}{3} n\times3=-12\times3}[/tex]

Watch what happens:

[tex]\implies\boldsymbol{\displaystyle\frac{2}{\not3} n\times\not3=-36}[/tex]

On the LHS, the 3's cancel out, and we're left with 2n:

[tex]\implies\boldsymbol{2n=-36}[/tex]

Now, divide both sides by 2:

[tex]\implies\boldsymbol{n=-18.}[/tex]

Voila! There's our solution.

Have a nice day!

I hope this helps.

-stargazing

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.