To determine To solve: The equation V = 1.2 ( 5.0 + 8.0 R 8.0 + R ) for R . Explanation Method used: Solving Equations Involving Fractions: 1. Multiply each term of the equation by the LCD of all the denominators. This should eliminate all fractions from the equation. 2. Solve the resulting equation using previous methods. 3. Check the solution in the original equation. Calculation: The given equation is, V = 1.2 ( 5.0 + 8.0 R 8.0 + R ) . Use the above method to solve the equation V = 1.2 ( 5.0 + 8.0 R 8.0 + R ) for R as follows. V × ( 8.0 + R ) = 1.2 ( 5.0 + 8.0 R 8.0 + R ) × ( 8.0 + R ) ( Each term multiplied by LCD, ( 8.0 + R ) ) 8.0 V + V R = 6.0 ( 8.0 + R ) + 9.6 R ( Reduce each term to its lowest term ) 8.0 V + V R = 48.0 + 6.0 R + 9.6 R R ( V − 15.6 ) = 48 − 8 V ( Rearrange the terms ) Simplify further as, R ( V − 15.6 ) ( V − 15.6 ) = 48.0 − 8.0 V ( V − 15.6 ) ( Divide both sides by ( V − 15.6 ) ) R = 48.0 − 8.0 V ( V − 15

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Chapter 6.7, Problem 41E

To determine

To solve: The equation V=1.2(5.0+8.0R8.0+R) for R.

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Chapter 6.7, Problem 40E

Chapter 6.7, Problem 42E

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Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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