What is the answer to (x-5)/(x-1)=-3/x ?

The answer to (x-5)/(x-1)=-3/x is x=3,x=-1

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(x-5)/(x-1)=-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{x ^{3} - 8 x ^{2}}{8 - x} = 0

\frac{x ^{3} - 8 x ^{2}}{8 - x} = 1

\frac{6}{s + 5} + \frac{s - 5}{2} = 3

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

\frac{5}{x} + 13 = \frac{1}{x} + 3

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