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§ 2.3

The Multiplication Property of Equality. § 2.3. Multiplication Property of Equality. ( – 1)( – y ) = 8( – 1) Multiply both sides by –1. Multiplication Property of Equality If a , b , and c are real numbers, then a = b and ac = bc are equivalent equations. Example:.

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§ 2.3

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  1. The Multiplication Property of Equality § 2.3

  2. Multiplication Property of Equality (–1)(–y) = 8(–1) Multiply both sides by –1. Multiplication Property of Equality If a, b, and c are real numbers, then a = b and ac = bc are equivalent equations Example: –y = 8 y = –8 Simplify both sides.

  3. Multiply both sides by 7. Simplify both sides. Solving Equations Example:

  4. Multiply both sides by the fraction. Simplify both sides. Solving Equations Example:

  5. 3z – 1 + 1 = 26 + 1 Add 1 to both sides. Divide both sides by 3. Using Both Properties Example: 3z – 1 = 26 3z = 27 Simplify both sides. z = 9 Simplify both sides.

  6. 20x + 24 + (–24) = 10 + (–24) Add –24 to both sides. Divide both sides by 20. Simplify both sides. Using Both Properties Example: 12x + 30 + 8x – 6 = 10 20x + 24 = 10 Simplify the left side. 20x = –14 Simplify both sides.

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