What is the answer to (x-5}{x-1}=\frac{-3)/x ?

The answer to (x-5}{x-1}=\frac{-3)/x is x=3,x=-1

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(x-5}{x-1}=\frac{-3)/x

\frac{x - 5}{x - 1} = \frac{- 3}{x}

x = 3, x = - 1

Solution steps

\frac{x - 5}{x - 1} = \frac{- 3}{x}

Cross multiply

(x - 5) x = - (x - 1) \cdot 3

Solve

(x - 5) x = - (x - 1) \cdot 3 : x = 3, x = - 1

x = 3, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = 3, x = - 1

\frac{3}{x ^{2}} = 0

\frac{5 x + 2}{x - 4} = \frac{3}{4}

\frac{a}{a - 3} - \frac{a}{a - 2} = 5

\frac{1}{y - 8} - 1 = \frac{7}{y - 8}

y, x = \frac{2 y - 1}{y + 3}

What is the answer to (x-5}{x-1}=\frac{-3)/x ?
The answer to (x-5}{x-1}=\frac{-3)/x is x=3,x=-1
Solve for x: (x-5}{x-1}=\frac{-3)/x
The solution is x=3,x=-1