Answer
False
Work Step by Step
$$2-\frac{1}{x-2}=\frac{3}{x-2}$$
Multiply both sides by $x-2$:
$$2(x-2)-1=3$$ $$2x-4=4$$ $$2x=8$$ $$x=4$$
Thus, the solution is $x=4$.
Since the equation has a solution, the answer is false.
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.2 - Linear Equations in One Variable - 1.2 Exercises - Page 89: 78
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