What is the answer to 6/(x-5)= 1/x ?

The answer to 6/(x-5)= 1/x is x=-1

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6/(x-5)= 1/x

\frac{6}{x - 5} = \frac{1}{x}

x = - 1

Solution steps

\frac{6}{x - 5} = \frac{1}{x}

Cross multiply

6 x = x - 5

Move

x

to the left side

5 x = - 5

Divide both sides by

5

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 0

Combine undefined points with solutions:

x = - 1

\frac{( x ^{2} + x )}{( x - 1 )} = 6

\frac{9}{x} = \frac{x}{16}

x + \frac{12}{x} = 6

48 = \frac{48 + 2 n}{n} \cdot n - 4

3 x + 2 (\frac{1}{x}) = 5