Question

which statement best reflects the solution(s) of the equation?
$\frac{1}{x-1} +\frac{2}{x} =\frac{x}{x-1}$

Answer 1

Answer:

There's only one solution x = 2

Thr solution x = 1 is an extraneous solution.

Step-by-step explanation:

$\frac{1}{x - 1} + \frac{2}{x} = \frac{x}{x - 1} \\ \frac{2}{x} = \frac{x}{x - 1} - \frac{1}{x - 1} \\ \frac{2}{x} = \frac{x - 1}{x - 1} \\ \frac{2}{x} = 1 \\ 2 = x$

Answer 2

Answer:

There is only one solution: x = 2.

The solution x = 1 is an extraneous solution.

Step-by-step explanation:

I hope this helps :)