afleeger212
Answered

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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

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