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: 26

Answer

x = 2.666666667

Work Step by Step

Simplifying 6x + -1 = 9x + -9 Reorder the terms: -1 + 6x = 9x + -9 Reorder the terms: -1 + 6x = -9 + 9x Solving -1 + 6x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 6x + -9x = -9 + 9x + -9x Combine like terms: 6x + -9x = -3x -1 + -3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -3x = -9 + 0 -1 + -3x = -9 Add '1' to each side of the equation. -1 + 1 + -3x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -9 + 1 -3x = -9 + 1 Combine like terms: -9 + 1 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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