Answer
Non-linear.
Work Step by Step
$\frac{3}{y}+\frac{2}{x}=1$
Can be rewritten as follow:
$3x+2y=xy$
And in order to be a linear equation, there should not be product of variables in the equation.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 1 - Systems of Linear Equations - 1.1 Introduction to Systems of Linear Equations - 1.1 Exercises - Page 10: 3
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