Geometry: Common Core (15th Edition)

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

Skills Handbook - Solving and Writing Linear Equations - Exercises - Page 894: 10



Work Step by Step

We start with the given equation: $\frac{5}{7}p-10=30$ We add $10$ to both sides of the equation and combine like terms: $$\frac{5}{7}p-10+10=30+10$$$$\frac{5}{7}p=40$$ We multiply by $\frac{7}{5}$, the reciprocal of $\frac{5}{7}$, on each side of the equation: $$\frac{7}{5}\times\frac{5}{7}p=\frac{7}{5}\times40$$$$p=56$$
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