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: 23

Answer

y=13

Work Step by Step

Simplifying 4y + 11 = 7y + -28 Reorder the terms: 11 + 4y = 7y + -28 Reorder the terms: 11 + 4y = -28 + 7y Solving 11 + 4y = -28 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 11 + 4y + -7y = -28 + 7y + -7y Combine like terms: 4y + -7y = -3y 11 + -3y = -28 + 7y + -7y Combine like terms: 7y + -7y = 0 11 + -3y = -28 + 0 11 + -3y = -28 Add '-11' to each side of the equation. 11 + -11 + -3y = -28 + -11 Combine like terms: 11 + -11 = 0 0 + -3y = -28 + -11 -3y = -28 + -11 Combine like terms: -28 + -11 = -39 -3y = -39 Divide each side by '-3'. y = 13 Simplifying y = 13
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