Question

38=1/8k+47
Find the value of k

Answer 1

`k=-72`

Explanation:

`38=(1)/(8) k+47`

Switching the sides of the equation isn't required, but it helps to reduce confusion.

`(1)/(8)k+47=38`

Since there is a positive 7, we are going to do the opposite operation, which is addition.

`(1)/(8)k+47-47=38\\\text\:\:\:\:\:\:-47\:\:\:\:\:\:\:\:\:-47`

Simplify

+47 - 47 will cancel each other out, so we are left with:

`(1)/(8)k=-9`

Now, multiply 8 to both sides, since the equation gives us 1 divided 8, so the opposite operation of division is multiplication.

`8\cdot (1)/(8)k=8\left(-9\right)`

On the right side, we have the same thing as
`(8)/(1) \cdot (1)/(8)`, so 8 we can cancel the equation on the right side since they are both the same number.

On the left, we have
`8\left(-9\right)`, which is -72.

Therefore,
`k=-72`.