College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.1 - Linear Equations - 1.1 Assess Your Understanding: 58

Answer

{$-12$}

Work Step by Step

$\frac{-4}{x+4}=\frac{-3}{x+6}$ Where $x\ne-4, x\ne-6$ $-4(x+6)=-3(x+4)$ Use cross multiplication. $-4x-24=-3x-12$ Distribute. $-4x-24+24=-3x-12+24$ Add 24 to both sides. $-4x=-3x+12$ $-4x+3x=-3x+3x+12$ Add 3x to both sides. $-x=12$ $\frac{-x}{-1}=\frac{12}{-1}$ $x=-12$ The solution is {-12}
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