Question

Solve the equation. Check your solution.

$\text{2=}\frac{\text{d}}{\text{5}}\text{-1}$

Short answer

The solution for the equation$2=\frac{d}{5}-1$is .$d=15$

Step-by-step solution

– Separate the variables and constants

Write the original equation and separate the variables.

$\begin{array}{c}2=\frac{d}{5}-1\\ 2+1=\frac{d}{5}\\ 3=\frac{d}{5}\end{array}$

– Solve for n

Multiply both sides of the equation $3=\frac{d}{5}$ by 5 and simplify.

$\begin{array}{c}3\times 5=\frac{d}{5}\times 5\\ d=15\end{array}$

Therefore, the solution of the equation is$d=15$.

– Check the solution 

To check the solution, write the original equation and substitute the value of d.

$2=\frac{d}{5}-1$

Now, substitute$d=15$ and check the result.

$\begin{array}{c}2=\frac{15}{5}-1\\ 2=3-1\\ 2=2\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.