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Rational Expressions
Example 4

Example 4: Rational Equation Setup

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

Problem

Solve x−55=−1\text{Solve }\frac{x-5}{5}=-1

1. Recognize Pattern

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

2. Apply Method

x−94=−2⇒x=1\frac{x-9}{4}=-2\Rightarrow x=1

3. Conclude

x=5(−1)+5=0x=5(-1)+5=0

Final answer

x=5(−1)+5=0x=5(-1)+5=0
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