Algebra 1

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

Chapter 2 - Solving Equations - 2-1 Solving One-Step Equations - Practice and Problem-Solving Exercises - Page 85: 12

Answer

$v=18$

Work Step by Step

$23 = v + 5$ In order to solve this algebraic equation, we need to isolate the variable. This is achieved by subtracting $5$ from both sides to eliminate the constants from the right hand side as shown below: $23 - 5 = v + 5 - 5$ Simplify to get: $18 = v$ Rearranging it, we have: $v = 18$ Testing: To test the validity of the statement, we replace the variable $v$ with $18$ in the original equation as shown below: $23 = v + 5$ $23 = 18 + 5$ Simplify to get: $23 = 23$ The statement $23 = 23$ is true. Therefore, the statement $v = 18$ is also true.
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