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MTH 100 Solving Rational Equations Important! • Equations require solutions (if they exist). So don’t stop until you have found them (or found that they don’t exist). How To Solve 1. 2. 3. 4. Eliminate the “bad” numbers. Can we/should we cross multiply? Find the LCD of both sides. Multiply each term by the LCD. All denominators should cancel. 5. Solve what’s left. 6. Check solution(s) against the “bad” numbers. Examples 16 x 3 1 5x x 8 b 1 50 2 b 5 b 5 b 25 More Examples 2x 7 6x 1 6x 7x 8 2 2 x 1 x 1 x 1 2 x 7 x5 x4 x6 Still More Examples x x2 3x 2 3x 2 6 3 2 2 y 36 y 6 y