Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 4 - Writing Linear Functions - 4.1 - Writing Equations in Slope-Intercept Form - Exercises - Page 180: 39

Answer

$y=\frac{1}{4}$

Work Step by Step

The given equation is $-4y-10=4(y-3)$ This can be written as $-4y-10=4y-12$ Add 12 to both sides of the equation. Then, $-4y-10+12=4y-12+12$ Or $-4y+2=4y$ Add $4y$ to both sides of the equation to get $-4y+2+4y=4y+4y$ Or $2=8y$ Now, divide both sides of the equation by $8$. Then, $\frac{2}{8}=\frac{8y}{8}$ Or $y=\frac{1}{4}$
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