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: 10

Answer

$y = 4$

Work Step by Step

We fist combine like terms to obtain the equation: $-1 = -2y + 7$ We need to isolate the variable $y$ by subtracting $7$ from both sides as shown below: $-1 - 7 = -2y + 7 - 7$ Simplifying we have: $-8 = -2y$ We now divide through by the coefficient of the variable $y$ as shown below: $\frac{-8}{-2} = \frac{-2}{-2}y$ Simplify to get: $4 = y$ Rearranging, we have: $y = 4$ Therefore, the equation will have a possible solution at $y = 4$
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