Question

If 9-2k/3=k-2 what is the value of k

Answer 1

`k=3`

Explanation:

Given the following question:


`(9-2k)/(3) =k-2`

To find the answer we need to isolate k, in order to do that we need to use inverse of operations to cancel out integers on each side of the expression.


`(9-2k)/(3) =k-2`

`3*0=0`

`2*3=6`

`9-2k=k*3-6`

`9-9=0`

`-6-9=15`

`k*3=3k`

`-2k=3k-15`

`-2k-2k=0`

`3k+-3k=-5k`

`-5k=-15`

`-5k/-5=k`

`-15/-5=3`

`k=3`

Your answer is "k =3."

Hope this helps.