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: 14

Answer

$f=11$

Work Step by Step

$f + 9 = 20$ In order to solve this algebraic equation, we will need to isolate the variable f on the L.H.S of the equation. We therefore subtract $9$ from both sides to eliminate the constants from the L.H.S as shown below: $f + 9 -9 = 20 - 9$ Simplify to get: $f = 11$ This shows that the equation has a possible solution at $f = 11$ Testing: We replace for the variable $f$ with $11$ in the original equation as below: $f + 9 = 20$ $11 + 9 = 20$ Simplifying, we have: $20 = 20$ This proofs that the statement $f = 11$ is true.
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