Algebra 1

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

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Lesson Check: 2

Answer

$y=-3$

Work Step by Step

Distribute 5 and 7 to have: $5y-20=14y+7$ Subtract $7$ from both sides to have: $5y-20-7=14y+7-7 \\5y-27=14y$ Subtract $5y$ from both sides to have: $5y-27-5y=14y-5y \\-27=9y \\-3 = y$ Checking: $\begin{array}{ccc} \\5(-3-4) &\stackrel{?}{=}&7[2\cdot(-3)+1] \\5(-7) &\stackrel{?}{=}&7[-6+1] \\-35 &\stackrel{?}{=}&7(-5) \\-35 &\stackrel{\checkmark}{=}&-35 \\\end{array}$
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