Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Concept Quiz 3.1: 7

Answer

True

Work Step by Step

As long as the same operation is performed on both sides of the equation, we can do anything to an equation to create an equivalent equation. This includes subtraction. For example, if we start with the equation $5+x=2$, which has the solution $-3$, and then subtract $10$ from both sides of the equation, we end up with a new equation: $x-5=-8$, which still has a solution of $-3$, making it an equivalent equation.
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