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: 17

Answer

$d = 7.5$

Work Step by Step

$5.5 = -2 + d$ In order to solve this algebraic expression, we need to isolate the variable $d$ and join the constants together on the L.H.S. We therefore eliminate the constants from the R.H.S by adding $2$ to both sides of the equation as shown below: $5.5 + 2 = -2 + d + 2$ Simplifying this we have: $7.5 = d$ Rearranging it, we have: $d = 7.5$ This shows that the equation has a possible solution at the point $d = 7.5$ Testing the variable, we replace for the variable $d$ with $7.5$ in the original equation as shown below: $5.5 = -2 + d$ $5.5 = -2 + 7.5$ Simplifying, we have: $5.5 = 5.5$ Therefore, the statement that $d = 7.5$ is proven to be true.
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