Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises: 14

Answer

y=1

Work Step by Step

Simplifying 13y + 2 = 20y + -5 Reorder the terms: 2 + 13y = 20y + -5 Reorder the terms: 2 + 13y = -5 + 20y Solving 2 + 13y = -5 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 2 + 13y + -20y = -5 + 20y + -20y Combine like terms: 13y + -20y = -7y 2 + -7y = -5 + 20y + -20y Combine like terms: 20y + -20y = 0 2 + -7y = -5 + 0 2 + -7y = -5 Add '-2' to each side of the equation. 2 + -2 + -7y = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -7y = -5 + -2 -7y = -5 + -2 Combine like terms: -5 + -2 = -7 -7y = -7 Divide each side by '-7'. y = 1 Simplifying y = 1
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