Question

How do you solve `(2n-1 )/3 = 10`?

Answer 1

`n=31/2`

Explanation:

`"multiply through by 3"`

`cancel(3)xx(2n-1)/cancel(3)=3xx10`

`2n-1=30`

`"add 1 to both sides"`

`2n=30+1=31`

`"divide both sides by 2"`

`(cancel(2) n)/cancel(2)=31/2rArrn=31/2`

`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.

`(2xx31/2-1)/3=(31-1)/3=30/3=10`

`n=31/2" is the solution"`