Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-5 Solving Inequalities - Practice and Problem-Solving Exercises - Page 40: 76

Answer

This equation has no solution.

Work Step by Step

Use distributive property to get rid of the parentheses: $10x - 7 = 2(13) + 2(5x)$ Multiply out the terms: $10x - 7 = 26 + 10x$ Add $7$ to each side to move constants to one side of the equation: $10x = 33 + 10x$ Subtract $10x$ from each side of the equation to isolate variables to one side of the equation: $0 = 33$ We see that this equality is not true; therefore, this equation has no solution.
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