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Solving Multiplication and Division Equations Lesson 3.2 Procedure • Check to see if either side of the equal sign can be simplified • Isolate the variable by performing the inverse operation • The inverse of multiplication is division. The inverse of division is multiplication. • Use the “Golden Rule.” Perform the same operation on the other side of the equal sign. ORIGINAL EQUATION STEPS 1. Can either side of the equal sign can be simplified? 2. Isolate the variable by performing the inverse operation 3. Use the “Golden Rule.” Perform the same operation on the other side of the equal sign. Example The inverse of division is multiplication. Repeat the operation on the other side. m = STEPS 1. Can either side of the equal sign can be simplified? 2. Isolate the variable by performing the inverse operation 3. Use the “Golden Rule.” Perform the same operation on the other side of the equal sign. Check. Use the original equation. m ÷ 3 = -30 -90 ÷ 3 = -30 -30 = -30 ORIGINAL EQUATION 7b = -105 Example 2 The inverse of multiplying is dividing. 7b = -105 ÷ 7 ÷ 7 15 7 105 b = -15 7 35 35 0 Check 7b = -105 7(-15) = -105 -105 = -105 Original equation