Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.5 - Rewriting Equations and Formulas - Exercises - Page 42: 53

Answer

The equation has no solution.

Work Step by Step

The given equation is $\Rightarrow 2|2r+4|=-16$ Divide each side by $2$. $\Rightarrow \frac{2|2r+4|}{2}=\frac{-16}{2}$ Simplify. $\Rightarrow |2r+4|=-8$ The absolute value of an expression must be greater than or equal to zero. The expression $|2r+4|$ cannot equal $-8$. So, the equation has no solution.
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