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Rational Expressions
Example 2

Example 2: Rational Equation Setup

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

Problem

Solve x+03=1\text{Solve }\frac{x+0}{3}=-1

1. Recognize Pattern

x+pq=rx=qrp\frac{x+p}{q}=r\Rightarrow x=qr-p

2. Apply Method

x+26=0x=2\frac{x+2}{6}=0\Rightarrow x=-2

3. Conclude

x=3(1)0=3x=3(-1)-0=-3

Final answer

x=3(1)0=3x=3(-1)-0=-3