Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.4 Equations - R.4 Exercises - Page R-16: 6


$-\displaystyle \frac{6}{11}$

Work Step by Step

The aim is, step by step, to isolate $a$ on one side of the equation. ...Multiply out the parentheses $5a+15+4a-5=-2a+4$ $...$add/subtract like terms on the left side $9a+10=-2a+4$ ...Subtracting 10 from both sides removes it from the left side ...Adding 2a to both sides removes it from the right side $9a+10=-2a+4\qquad.../-10+2a$ $9a+2a=4-10\qquad ... $simplify $11a=-6$ ...Dividing both sides with $11$ isolates $a$ on the left side. $a=-\displaystyle \frac{6}{11}$
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