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: 11

Answer

$n = 19$

Work Step by Step

$27 + n = 46$ In order to solve this algebraic expression, we will need to eliminate the constants from the left hand side in order to equate it with the variable. To achieve this, we join the constants together by subtracting $27$ from both sides as shown below: $27 + n - 27 = 46 - 27$ Simplify to get: $n = 19$ This means that the algebraic equation has a possible solution at $n = 19$ Testing: To test the truth of our statement, we replace for $n$ with $19$ in the original equation as shown below: $27 + n = 46$ $27 + 19 = 46$ Join like terms together to get: $46 = 46$ It is true that 46 = 46. This is a proof that the statement $n = 19$ is also true.
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