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: 81

Answer

There is no solution for this equation. In set notation this is shown by the empty set: { }

Work Step by Step

4(x + 2) + 1 = 7x - 3(x - 2) To solve this equation, we first need to apply the distributive property to both the right and left side of the equation. 4x + 8 + 1 = 7x - 3x + 6 Now, combine the like terms on each side of the equation. 4x + 9 = 4x + 6 Next, subtract 4x from both sides of the equation. 4x - 4x + 9 = 4x - 4x + 6 and we get: 9 = 6 Since there is no way that 9 = 6, we say that the equation has no solution...or the solution is the empty set.
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