Q18. - Algebra 1

Question

Solve each equation. Check your solution.

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

Step-by-Step Solution

Answer

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

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.