Q. 9 - Elementary Algebra

Question

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality. 
$b+\frac{1}{4}=\frac{3}{4}$

Step-by-Step Solution

Answer

$b=\frac{1}{2}$

Step 1. Given information

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality. 
$b+\frac{1}{4}=\frac{3}{4}$

Step 2. Explanation

$\begin{array}{l}\Rightarrow b+\frac{1}{4}=\frac{3}{4}\\ \text{Subtract }\frac{1}{4}\text{ from each sides}\\ \Rightarrow b+\frac{1}{4}-\frac{1}{4}=\frac{3}{4}-\frac{1}{4}\\ \Rightarrow b=\frac{3}{4}-\frac{1}{4}\\ \text{Taking LCD to solve right side of the equation}\\ \Rightarrow b=\frac{3-1}{4}\\ \Rightarrow b=\frac{2}{4}\\ \Rightarrow b=\frac{1}{2}\end{array}$