Algebra 1

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

Chapter 2 - Solving Equations - 2-6 Ratios, Rates, and Conversions - Mixed Review: 50

Answer

$y=5$

Work Step by Step

We start with the given equation: $2y+0.5y+4.5=17$ Next, we subtract $4.5$ on both sides to isolate the $y$ terms: $2y+0.5y+4.5-4.5=17-4.5$ Then, we combine like terms on each side of the equation: $2.5y=12.5$ Finally, we divide by $2.5$ on both sides: $y=\frac{12.5}{2.5}=5$ To check, we plug in $5$ to the original equation for $y$: $2(5)+0.5(5)+4.5=17$ We simplify using the order of operations: First, we multiply from left to right: $10+2.5+4.5=17$ Then, we add from left to right: $12.5+4.5=17=17$ The answer checks.
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