 # Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.8 Solving Equations Containing Fractions.

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Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.8 Solving Equations Containing Fractions

Martin-Gay, Prealgebra, 6ed 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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.

Martin-Gay, Prealgebra, 6ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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.

Martin-Gay, Prealgebra, 6ed 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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.

Martin-Gay, Prealgebra, 6ed 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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.

Martin-Gay, Prealgebra, 6ed 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solve for x Multiply both sides by 7. Simplify both sides.

Martin-Gay, Prealgebra, 6ed 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solve for x Multiply both sides by 5. Simplify both sides. Add – 3y to both sides. Add – 30 to both sides. Divide both sides by 7.