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Rational Expressions
Example 1

Example 1: 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+96=−1⇒x=−15\frac{x+9}{6}=-1\Rightarrow x=-15

3. Conclude

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

Final answer

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