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

May 17, 2018

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.

May 17, 2018

$d = 12$

#### Explanation:

$\text{note that } \frac{2}{3} d = \frac{2 d}{3}$

$\text{to eliminate the fraction multiply both sides by 3}$

$3 \times 8 = \cancel{3} \times \frac{2 d}{\cancel{3}}$

$\Rightarrow 24 = 2 d$

$\text{divide both sudes by 2}$

$\frac{24}{2} = \frac{\cancel{2} d}{\cancel{2}}$

$\Rightarrow 12 = d \text{ or } d = 12$

$\textcolor{b l u e}{\text{As a check}}$

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

$\text{right "=2/cancel(3)^1xxcancel(12)^4=2xx4=8="left}$

$\Rightarrow d = 12 \text{ is the solution}$