2.4 Reasoning in Algebra 2011.pdf
2.4 Reasoning in Algebra 2011.pdf
2.4 Reasoning in Algebra 2011.pdf
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<strong>2.4</strong> <strong>Reason<strong>in</strong>g</strong> <strong>in</strong> <strong>Algebra</strong> 2011September 20, 2011Example #2: Solve for y and justify each step.Given: AC = 21 2y 3y 9A B CStepsJustifications1. AB + BC = AC 1. Segment Addition Postulate2. 2y + 3y 9 = 21 2. Substitution Property3. 5y 9 = 21 3. Simplify4. 5y = 30 4. Addition Property of Equality5. y = 6 5. Division Property of Equality6