Explanation Given Information: The equation is, x + 3 7 − x + 2 6 = 1 6 Formula used: For the real number a , b and c , the distributive property is, a ( b + c ) = a b + a c Consider the provided equation, x + 3 7 − x + 2 6 = 1 6 The least common denominator (LCD) is 42 , thus multiply 42 to both sides. 42 ( x + 3 7 − x + 2 6 ) = 42 ( 1 6 ) Use distributive property and get, 42 ( x + 3 7 ) − 42 ( x + 2 6 ) = 42 ( 1 6 ) 7 ⋅ 6 ( x + 3 7 ) − 7 ⋅ 6 ( x + 2 6 ) = 7 ⋅ 6 ( 1 6 ) 6 ( x + 3 ) − 7 ( x + 2 ) = 7 Further, use distributive property. 6 x + 18 − 7 x − 14 = 7 Add like terms

Beginning and Intermediate Algebra (6th Edition)

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Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 6.6, Problem 48E

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To calculate: Thesolution of the equation x+37−x+26=16 and verify the equation.

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Chapter 6.6, Problem 47E

Chapter 6.6, Problem 49E

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Chapter 6 Solutions

Beginning and Intermediate Algebra (6th Edition)

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Thesolution of the equation x + 3 7 − x + 2 6 = 1 6 and verify the equation.

Solution Summary: The author explains the formula used to calculate the equation x+37, if the least common denominator is 42.

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To calculate: Thesolution of the equation x+37−x+26=16 and verify the equation.

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