Q14. - Algebra 1

Question

Solve each equation. Check your solution.

$9\mathrm{x}+27=-72$

Step-by-Step Solution

Answer

The solution of the given equation is $x=-11$.

Step 1. Write the given equation.

The given equation is “$9x+27=-72$”.

Step 2. Solve the given equation.

Solving,

 

$9x+27=-72$  (Given equation)

 

$9x+27-27=-72-27$  (Subtract 27 from both sides)

 

$9x=-99$  (Simplify)

 

$\frac{9x}{9}=\frac{-99}{9}$  (Divide both sides by 9)

 

$x=-11$  (Simplify)

 

So, $x=-11$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $x=-11$ in the given equation $9x+27=-72$ to get,

$\begin{array}{l}9\left(-11\right)+27=-72\\ -99+27=-72\\ -72=-72\end{array}$

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.