Skip to content
Rational Expressions
Example 12

Example 12: Rational Equation Setup

Step-by-step worked example for this lesson track.

Problem

Solve x−74=0\text{Solve }\frac{x-7}{4}=0

1. Recognize Pattern

x+pq=r⇒x=qr−p\frac{x+p}{q}=r\Rightarrow x=qr-p

2. Apply Method

x+34=−2⇒x=−11\frac{x+3}{4}=-2\Rightarrow x=-11

3. Conclude

x=4(0)+7=7x=4(0)+7=7

Final answer

x=4(0)+7=7x=4(0)+7=7
Previous exampleBack to lessonsPractice this skillTry in calculator