Question

Solve each equation. Check your solution.

$\frac{k}{3}+4=-16$

Short answer

The solution of the given equation is $k=-60$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$\frac{k}{3}+4=-16$”.

Step 2. Solve the given equation.

Solving,

$\frac{k}{3}+4=-16$ (Given equation)

$\frac{k}{3}+4-4=-16-4$ (Subtract 4 from both sides)

$\frac{k}{3}=-20$ (Simplify)

$\frac{k}{3}\times 3=-20\times 3$ (Multiply both sides by 3)

$k=-60$ (Simplify)

So, $k=-60$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $k=-60$in the given equation $\frac{k}{3}+4=-16$to get,

$\begin{array}{l}\frac{-60}{3}+4=-16\\ -20+4=-16\\ -16=-16\end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.