Explanation Given Information: The provided equation is 1 2 ( x + 2 ) + 3 8 ( 28 − x ) = 11 . Formula used: Subtraction property: The resultant equation will be equivalent to the original equation, if the same quantity will subtract to both sides of the equation. Division property: The resultant equation will be equivalent to the original equation, if the same non-zero quantity is divided on both sides of the equation. There are following steps to solve an equation with fractions. Step 1: Obtain the least common denominator (LCD) of all the fractional terms on both sides of the given equation. Step 2: Multiply both sides of the equation by the LCD to convert the provided equation without fractions. Step 3: Remove the parentheses (if any) by applying the distributive property. For any real numbers a , b , c , a ( b + c ) = a b + a c . Calculation: Consider the provided equation. 1 2 ( x + 2 ) + 3 8 ( 28 − x ) = 11 Find the LCD of the denominators. The LCD of 2 and 8 is 8. Multiply both sides of the equation by 8. 8 [ 1 2 ( x + 2 ) + 3 8 ( 28 − x ) ] = 8 ( 11 ) Now, apply the distributive property on the left side. 8 ( 1 2 ) ( x + 2 ) + 8 ( 3 8 ) ( 28 − x ) = 88 4 ( x + 2 ) + 3 ( 28 − x ) = 88 Again, apply the distributive property on the left side. 4 ( x + 2 ) + 3 ( 28 − x ) = 88 4 x + 8 + 84 − 3 x = 88 x + 92 = 88 Apply the subtraction property stated above, subtract both sides of the equation by 92

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

11th Edition

ISBN: 9781285199276

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 6.4, Problem 20E

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To calculate: The solution of the equation 12(x+2)+38(28−x)=11 and check it.

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Chapter 6.4, Problem 19E

Chapter 6.4, Problem 21E

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Chapter 6 Solutions

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

Ch. 6.1 - Solve each equation and check: x+2=8 Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Solve each equation and check: 23n=6 Ch. 6.1 - Solve each equation and check: w712=3 Ch. 6.1 - Prob. 6E Ch. 6.1 - Solve each equation and check: x13=1.5 Ch. 6.1 - Solve each equation and check: n+12=5 Ch. 6.1 - Solve each equation and check: 3b=15.6 Ch. 6.1 - Solve each equation and check: y17=25

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The solution of the equation 1 2 ( x + 2 ) + 3 8 ( 28 − x ) = 11 and check it.

Solution Summary: The author explains how to solve an equation with tions by obtaining the least common denominator of all the tional terms on both sides of the equation.

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Chapter 6 Solutions