Q52. - Algebra 1

Question

Solve each equation. Check your solution. 

$5n+6=-4$

Step-by-Step Solution

Answer

The solution of the given equation is $n=-2$.

Step 1. Write the given equation.

The given equation is “$5n+6=-4$”.

Step 2. Solve the given equation.

Solving,

 

$5n+6=-4$  (Given equation)

 

$5n+6-6=-4-6$  (Subtract 6 from both sides)

 

$5n=-10$  (Simplify)

 

$\frac{5n}{5}=\frac{-10}{5}$  (Divide both sides by 5)

 

$n=-2$  (Simplify)

 

So, $n=-2$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $n=-2$ in the given equation $5n+6=-4$ to get,

 

$\begin{array}{l}5\left(-2\right)+6=-4\\ -10+6=-4\\ -4=-4\end{array}$

 

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.