Question

How do you solve and check your solution given `8 =2/3d`?

Answer 1

12

Explanation:

To start out, you multiply 3 to both sides to get rid of the denominator on the right.

After doin this you get 24 = 2d, next divide by two and ya getcha answer to be d=12.

Answer 2

`d=12`

Explanation:

`"note that "2/3d=(2d)/3`

`"to eliminate the fraction multiply both sides by 3"`

`3xx8=cancel(3)xx(2d)/cancel(3)`

`rArr24=2d`

`"divide both sudes by 2"`

`24/2=(cancel(2) d)/cancel(2)`

`rArr12=d" or "d=12`

`color(blue)"As a check"`

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

`"right "=2/cancel(3)^1xxcancel(12)^4=2xx4=8="left"`

`rArrd=12" is the solution"`