Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2: 82

Answer

No solution. In set notation, this is the empty set: { }

Work Step by Step

To solve the equation below: 5x - 3(x + 1) = 2(x + 3) - 5 We start by using the distributive property: 5x - 3x - 3 = 2x + 6 - 5 Next, we combine like terms on each side of the equation. 2x - 3 = 2x + 1 Next, subtract 2x from each side of the equation: 2x - 2x - 3 = 2x - 2x + 1 Gives us: -3 = 1 Since -3 = 1 is not possible, the equation has no solution.
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