Question

Find the value of the variable.

$5=10k$

Short answer

The value of the variable is $\mathit{k}\mathbf{=}\frac{\mathbf{1}}{\mathbf{2}}$.

Step-by-step solution

Step 1. Divide by 10.

To find the value of variable k in the equation $5=10k$, divide both sides of the equation by 10.

$\frac{5}{10}=\frac{10k}{10}$

Step 2. Simplify the equation.

To further simplify, cancel the common factors on both sides.

$\begin{array}{l}\frac{5}{5\times 2}=\frac{10k}{10}\\ \frac{1}{2}=k\end{array}$

Step 3. Verify the value.

In order to verify the value of k, substitute $\frac{1}{2}$for into the equation $5=10k$.

$\begin{array}{l}5=10\times \frac{1}{2}\\ 5=5\text{True}\end{array}$

Hence, the value of the variable is $k=\frac{1}{2}$.