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 - Page 240: 30

Answer

y=1

Work Step by Step

Simplifying 17 + -4y = 14 + -1y Solving 17 + -4y = 14 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 17 + -4y + y = 14 + -1y + y Combine like terms: -4y + y = -3y 17 + -3y = 14 + -1y + y Combine like terms: -1y + y = 0 17 + -3y = 14 + 0 17 + -3y = 14 Add '-17' to each side of the equation. 17 + -17 + -3y = 14 + -17 Combine like terms: 17 + -17 = 0 0 + -3y = 14 + -17 -3y = 14 + -17 Combine like terms: 14 + -17 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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