Q. 2.8 - Elementary Algebra

Question

$\text{Solve:}q-\frac{1}{2}=\frac{5}{6}.$

Step-by-Step Solution

Answer

The solution for the given equation is$q=\frac{4}{3}$.

Step 1. Given information

The given equation is$q-\frac{1}{2}=\frac{5}{6}.$

We have to solve the given equation.

Step 2. Explanation

$\begin{array}{l}\Rightarrow q-\frac{1}{2}=\frac{5}{6}.\\ \text{Use the addition property of equaltiy.}\\ \Rightarrow q-\frac{1}{2}+\frac{1}{2}=\frac{5}{6}+\frac{1}{2}\\ \text{Find the LCD to add the fractions on the right}\\ \Rightarrow q-\frac{2}{3}+\frac{2}{3}=\frac{5+3}{6}\\ \Rightarrow q=\frac{8}{6}\\ \Rightarrow q=\frac{4}{3}\end{array}$