Question

Solve the equation 2/3k + 6 = −12 for k. Please show your work and solution in the space provided.
PLEASE HELP ME!!!!!!

Answer 1

Have you gotten any help with this yet?

Answer 2

Nope

Answer 3

So let's get started then :)

Answer 4

First, we need to isolate your variable (k) on one side. Doesn't matter what side you choose, but I have a habbit of putting my variables on the left.

Answer 5

I do too

Answer 6

If we do this, then you get 2/3k=-12-6 or 2/3k=-18

Answer 7

Okay...

Answer 8

In order to get the 2/3 to drop out on the side with the variable, we need to multiply 2/3 by its reciprocal which is 3/2. We do this to both sides.

Answer 9

Set up like this: (3/2) (2/3k)= -18 (3/2)

Are you with me so far?

Answer 10

Kinda... I've never worked out a problem like that

Answer 11

We just have to remember that what we do to one side, we do other :)

So, when you multiply the fraction on the left, you get 6/6 * k which is 1*k. 1*k is just k.

Answer 12

Now to the right side. You h ave -18 * (3/2). It is really (-18 * 3)/2.

Answer 13

So, it is -54/2 which gives you -27.

Answer 14

Okay I think i get it. Thanks for the help

Answer 15

You can always double check by substituting your value for k and solcing the equation.
Glad I could help :)

Answer 16

Sorry- solving for k.