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: 18

Answer

$a = 13$

Work Step by Step

Given the equation: $-23 = -2a - 10 + a$ We start by combining like terms together as shown below: $-23 = -2a + a - 10$ Simplify to get: $-23 = -a - 10$ Next, we isolate the variable $a$ by adding $10$ to both sides of the equation as shown below: $-23 + 10 = -a - 10 + 10$ Simplify to get: $-13 = -a$ Now, we divide through by $-1$, which is the coefficient of the variable $a$ in the equation: $\frac{-13}{-1} = \frac{-1}{-1}a$ Simplifying, we have: $13 = a$ Rearranging, we have: $a = 13$ Therefore, the equation has a possible solution at the point $a = 13$
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