Question

PLEASE HELP

-6/5k = 12

Show your work in details if you can, I have a hard time understanding this.

Answer 1

k = -10

Explanation:

In order to solve for k, we need to isolate the variable. This means we need k to be on one side of the equation by itself.

We are given:

`-(6)/(5)k=12`

The first thing I would do is multiply both sides of the equation by 5:

`(5)-(6)/(5)k=12(5)`

This leaves us with:

`-6k=60`

Now, in order to get k by itself, we need to divide by -6 on both sides:

`(-6k)/(-6)=(60)/(-6)`

Therefore:

`k=-10`

Answer 2

`\begin{cases}\large\bf{\green{ \implies}} \tt \: (6)/(5) \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: (6k)/(5) \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 12 \: * \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel(60)/(6) \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: 10 \end{cases}`