Algebra 1

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

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 41



Work Step by Step

We start with the given equation: $1.025v+2.458=7.583$ We multiply the whole equation by $1000$: $1000(1.025v+2.458=7.583)$ We apply the distributive property to multiply each term by $1000$: $1025v+2458=7583$ We subtract $2458$ from each side of the equation: $1025v+2538-2458=7583-2458$ We combine the like terms on each side of the equation: $1025v=5125$ Finally, we divide by $1025$ on each side of the equation: $v=\frac{5125}{1025}=5$
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