Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-4 Solving Equations - Practice and Problem-Solving Exercises - Page 31: 59

Answer

$x=\frac{10c}{a}$

Work Step by Step

We can eliminate fractions by multiplying both sides of the equation by the LCM of the denominators. So, we multiply the entire equation by 5. That gives us $3ax-20c=ax$. We subtract both sides by 3ax to simplify. We have $-20c=-2ax$. To isolate x, we divide both sides by -2a. That gives us $\frac{-20c}{-2a}=\frac{-2ax}{-2a}$ so $\frac{10c}{a}=x$.
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