Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-1 Solving One-Step Equations - Practice and Problem-Solving Exercises: 25

Answer

$j=-4$

Work Step by Step

In order to solve this algebraic expression, we must isolate the variable. A variable is the letter in the problem (for instance, in the equation x+2=10, x is the variable). Because addition and subtraction are inverse operations (they cancel each other out), we know we must add when a number is being subtracted from the variable and subtract when a number is being added to the variable. In the equation $ j-3=-7$ we must get rid of the 3, which is on the same side as j, in order to solve. Thus, we add 3 on both sides of the equation to find that $j=-4$. We plug -4 in for j and confirm that our answer is, indeed, correct.
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