Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-1 Nets and Drawings for Visualizing Geometry - Practice and Problem-Solving Exercises - Page 10: 44


I) $b=2a-5$

Work Step by Step

To solve an expression for a given variable, isolate that variable on one side of the expression. $10a-5b=25$ Use the addition property of equality to subtract 10a from each side. $10a-5b-10a=25-10a$ Combine like terms. $-5b=25-10a$ Use the multiplication property of equality to divide both sides by -5. $-5b\div-5=(25-10a)\div-5$ Divide. Use the distributive property to divide the right side. $b=-5+2a$ Restate using the commutative property. $b=2a-5$
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