4 8 Solving Equations Containing Fractions Copyright 2011

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4. 8 Solving Equations Containing Fractions Copyright © 2011 Pearson Education, Inc. Publishing as

4. 8 Solving Equations Containing Fractions Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.

Addition Property of Equality Let a, b, and c represent numbers. If a =

Addition Property of Equality Let a, b, and c represent numbers. If a = b, then a+c=b+c and a–c=b-c In other words, the same number may be added to or subtracted from both sides of an equation without changing the solution of the equation. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra, 6 ed 2

Multiplication Property of Equality Let a, b, and c represent numbers and let c

Multiplication Property of Equality Let a, b, and c represent numbers and let c 0. If a = b, then a ∙ c = b ∙ c and In other words, both sides of an equation may be multiplied or divided by the same nonzero number without changing the solution of the equation. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra, 6 ed 3

Solving an Equation in x Step 1: If fractions are present, multiply both sides

Solving an Equation in x Step 1: If fractions are present, multiply both sides of the equation by the LCD of the fractions. Step 2: If parentheses are present, use the distributive property. Step 3: Combine any like terms on each side of the equation. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra, 6 ed 4

Solving an Equation in x Step 4: Use the addition property of equality to

Solving an Equation in x Step 4: Use the addition property of equality to rewrite the equation so that variable terms are on one side of the equation and constant terms are on the other side. Step 5: Divide both sides of the equation by the numerical coefficient of x to solve. Step 6: Check the answer in the original equation. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra, 6 ed 5

Solve for x Multiply both sides by 7. Simplify both sides. Copyright © 2011

Solve for x Multiply both sides by 7. Simplify both sides. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra, 6 ed 6

Solve for x Multiply both sides by 5. Simplify both sides. Add – 3

Solve for x Multiply both sides by 5. Simplify both sides. Add – 3 y to both sides. Add – 30 to both sides. Divide both sides by 7. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra, 6 ed 7

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3 12 Solving Equations Containing Fractions The goal3 12 Solving Equations Containing Fractions The goal
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