Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.1 - Linear Equations in One Variable - Exercise Set: 79

Answer

No solutions

Work Step by Step

We are given the equation $2x+1=2x+3$. Without simplifying, we can tell that this equation will have no solutions because the variable terms on both sides are the same, but the constant terms are different. Therefore, no matter what we plug in for x, the variable terms will cancel out each other, and the constant terms on both sides will be different. Example, $x=0$ $2\times0+1=2\times0+3$ $1\ne3$ Example, $x=3$ $2\times3+1=2\times3+3$ $7\ne9$
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