Question

Find the value of the variable.

$42=6k$

Short answer

The value of the variable is $\mathit{k}\mathbf{=}\mathbf{8}$.

Step-by-step solution

Step 1. Divide by 6.

To find the value of the variable k in the equation $42=6k$, divide both sides of the equation by 6.

$\frac{42}{6}=\frac{6k}{6}$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 6 on both sides.

$\begin{array}{l}\frac{6\times 8}{6}=\frac{6k}{6}\\ 8=k\end{array}$

Step 3. Verify the value.

In order to verify the value of k, substitute 8 for k into the equation $42=6k$.

$\begin{array}{l}42=6\times 8\\ 42=42\text{True}\end{array}$