Question

How do you solve and check your solutions to `3/2k=18`?

Answer 1

`k=12`

Explanation:

`"multiply both sides by 2 to eliminate the fraction"`

`cancel(2)xx3/cancel(2)k=2xx18`

`rArr3k=36`

`"divide both sides by 3"`

`(cancel(3) k)/cancel(3)=36/3`

`rArrk=12`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

`"left "=3/cancel(2)^1xxcancel(12)^6=3xx6=18=" right"`

`rArrk=12" is the solution"`