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: 15

Answer

$a = 26$

Work Step by Step

$-5 + a = 21$ In order to solve this algebraic expression, we will need to isolate the variable $a$ in the L.H.S by adding $5$ to both sides to eliminate constants from the L.H.S. This is done as below: $-5 + a + 5 = 21 + 5$ Simplifying, we have: $a = 26$ This shows that the equation has a possible solution at $a = 26$ Testing: To test whether $a = 26$, we replace for $a$ with $26$ in the original equation as shown below: $-5 + a = 21$ $-5 + 26 = 21$ Simplifying, we have: $21 = 21$ This is a proof that the statement $a = 26$ is true.
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