Answer
$$x=-1$$
Work Step by Step
We solve the problem by using cross multiplication and then isolating the variable. Doing this, we find:
$$ \frac{6}{x-5}=\frac{1}{x}\\ 6x=\left(x-5\right)\cdot \:1\\ 5x=-5 \\ x=-1$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 1-7 - Cumulative Review - Page 500: 25
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