Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set: 70

Answer

{$-\frac{23}{5}$}

Work Step by Step

Through cross multiplication, we will eliminate the fractional form of the equation. Then, we simplify: $\frac{4}{x-1}=\frac{-1}{x+6}$ $4(x+6)=-1(x-1)$ $4x+24=-x+1$ $4x+x=1-24$ $5x=-23$ $x=-\frac{23}{5}$ Therefore, the solution set is {$-\frac{23}{5}$}.
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