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Solving Equations Using Multiplication or Division Division Property of Equality – Dividing each side of an equation by the same nonzero number produces an equivalent equation Multiplication Property of Equality Multiplying each side of an equation by the same nonzero number produces an equivalent equation. ∙ Multiplication will “undo” division ∙ Division will “undo” multiplication Solve 3y = 33 Step 1 Determine which operation will “undo” and isolate the variable. 3y = 33 This is multiplication THEREFORE Division will “undo” Step 2 Perform the operation 3y 3 that will “undo” and isolate the variable. Remember to do the operation to both sides of the equation. = 33 3 y = 11 Step 3 Check your answer 3y = 33 3 (11) = 33 33 = 33 Solve 12x = 11 Step 1 This is division THEREFORE multiplication will “undo” Step 2 12( 12x ) = 12(11) x = 132 Step 3 132 12 = 11 11 = 11 MA10 BI 34