Question

How do you solve `\frac { k - 6} { 5} = 10`?

Answer 1

`k=56`

Explanation:

`"to eliminate the fraction multiply both sides by 5"`

`cancel(5)xx(k-6)/cancel(5)=(5xx10)`

`rArrk-6=50larrcolor(blue)" no fractions"`

`"add 6 to both sides"`

`kcancel(-6)cancel(+6)=50+6`

`rArrk=56`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=(56-6)/5=50/5=10=" right"`

`rArrk=56" is the solution"`