Algebra 2 Common Core

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

Chapter 2 - Functions, Equations, and Graphs - Mid-Chapter Quiz - Page 89: 18

Answer

$x-9y=-27$

Work Step by Step

In the form $Ax+By=C,$ where $A,$ $B,$ and $C$ are integers, the given equation is equivalent to: \begin{align*} 3\left( \dfrac{2}{3}x+3\right)&=(6y-15)3 \\\\ 2x+9&=18y-45 \\ 2x-18y&=-45-9 \\ 2x-18y&=-54 \\\\ \dfrac{1}{2}(2x-18y)&=-54\left(\dfrac{1}{2}\right) \\\\ x-9y&=-27 \end{align*}
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