Q. 236 - Elementary Algebra

Question

In the following exercise, solve each linear equation. 

$8\left(22+11r\right)=0$

Step-by-Step Solution

Answer

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

Step 1. Given information

The given equation is $8\left(22+11r\right)=0$.

We have to solve the given equation.

Step 2. Solving the given equation

$\begin{array}{l}\text{Now,}\\ \Rightarrow 8\left(22+11r\right)=0\\ \Rightarrow 176+88r=0\left[\text{Use the Distributive Property}\right]\\ \Rightarrow 176+88r-176=0-176\left[\text{Subtract }176\text{ from both the sides}\right]\\ \Rightarrow 88r=-176\\ \Rightarrow \frac{88r}{88}=\frac{-176}{88}\left[\text{Divide both the sides by }88\right]\\ \Rightarrow r=-2\end{array}$