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 - Page 364: 130


The statement is, “Two times of the number plus 7 is same as two times of the number plus 5”.

Work Step by Step

Consider a statement that two times of the number plus \[7\]is same as two times of the number plus\[5\], i.e., \[\begin{align} & 2x+7=2x+5 \\ & 2x+7-2x=2x+5-2x \\ & \text{7}\ \text{=}\ \text{5} \end{align}\] The above equation is false for every value of\[x\]. Thus, it has no solution.
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