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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 75 (page 217)

$Is-8asolutiontotheequation3x=16-5x?Howdoyouknow?$

Short Answer

Expert verified

$The value (-8) is not the solution for the given$ equation

Step by step solution

01

Setp 1. Given information

$Is-8asolutiontotheequation3x=16-5x?Howdoyouknow?$

02

Step 2. Explanation

$\begin{array}{l} Is-8asolutiontotheequation3x=16-5x?Howdoyouknow? \\ \Rightarrow 3 x = 16 - 5 x usecommunicativetorearrangetheterms \\ \Rightarrow 3 x + 5 x = 16 \\ Nowputthegivenvalueinthegivenequation \\ Putx=-8 \\ \Rightarrow 8 x = 16 \\ \Rightarrow 8 (- 8) = 16 \\ \Rightarrow - 64 = 16 \\ Thevalue(-8)isnotthesolutionforthegivenequation \end{array}$

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Most popular questions from this chapter

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
$b + \frac{1}{4} = \frac{3}{4}$

$Solve : n - 61 = - 75.$

$I s y = \frac{4}{3} a s o l u t i o n o f 9 y + 2 = 6 y + 3 ?$

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
$m - 12 = - 12$

In the following exercises, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

$- 9 x = - 27$

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