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: 16

Answer

$k = -20$

Work Step by Step

$-17 = 3 + k$ In order to solve this algebraic expression, we need to isolate the variable $k$ on the R.H.S by subtracting $3$ from both sides to eliminate constants from the R.H.S. This is done as shown below: $-17 - 3 = 3 + k - 3$ Simplifying, we have: $-20 = k$ Rearranging this, we have: $k = -20$ This shows that the equation has a possible solution at $k = -20$ Testing: We replace for $k$ with $-20$ in the original equation as shown below: $-17 = 3 + k$ $-17 = 3 + -20$ Simplifying the equation we get: $-17 = -17$ This proofs that the statement $k = -20$ is true.
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