Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-5 Literal Equations and Formulas - Lesson Check: 2

Answer

$b=\frac{10+a}{2}$

Work Step by Step

We are trying to isolate the b variable in $a-2b=-10$ To do this, we must first get the $b$ term on a side by itself by subtracting $a$ from each side to cancel out the $a$ that is added to the $b$ : $-2b=-10-a$ Then, we must divide by the $-2$ that is being multiplied by the $b$ to get it alone: $y=\frac{-10-a}{-2}$ Since all terms are negative in the fraction, we can rewrite it as $\frac{10+a}{2}$ by multiplying by $\frac{-1}{-1}$.
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