The equality 1x-1=2x-2 is satisfied by:

From the equality, 1x-1=2x-2, we get (x-1)2=(x-2)1. Solving this, we get, 2x-2=x-2. Thus, the answer is only x=0.

smc

algebra intermediate

Problem

The equality

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

is satisfied by:

(A)

no real values of x

(B)

either x = 1 or x = 2

(C)

only x = 1

(D)

only x = 2

(E)

only x = 0

Solution

From the equality,

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

, we get

(x - 1) \times 2 = (x - 2) \times 1

. Solving this, we get,

2 x - 2 = x - 2

. Thus, the answer is

only x = 0

Final answer