Section 4 8 Solving Equations Containing Fractions Properties

Section 4. 8 Solving Equations Containing Fractions

Properties • Addition Property of Equality – Let a, b, and c represent numbers. If a = b then a + c = b + c • Multiplication Property of Equality – Let a, b, and c represent numbers. If a = b then ac = bc

Methods Two methods 1. Solve equation with fractions. 2. Solve equation by Multiplying by LCD to eliminate fractions.

Solve Equation with Fractions. • Steps 1. Distributed property. 2. Combine like terms on the same side. 3. Use the Addition Property to move variables to one side, simplify. 4. Use the Addition Property to move constant to the other side, simplify. 5. Use Multiplication Property to cancel coefficient. 6. Solve and Check

Example • Solve and check

Multiply by LCD, eliminate fractions. • Steps 1. 2. 3. 4. Distributed property. Find LCD, multiply all terms with the LCD. Combine like terms on the same side. Use the Addition Property to move variables to one side, simplify. 5. Use the Addition Property to move constant to the other side, simplify. 6. Use Multiplication Property to cancel coefficient. 7. Solve and Check

Example • Solve and check

Example • Solve and check

Example • Solve and check

Example • Solve and check

Example • Solve and check

Example • Solve and check