What is the answer to 2/(x-1)= 5/x ?

The answer to 2/(x-1)= 5/x is x= 5/3

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2/(x-1)= 5/x

\frac{2}{x - 1} = \frac{5}{x}

x = \frac{5}{3}

Solution steps

\frac{2}{x - 1} = \frac{5}{x}

Cross multiply

2 x = 5 x - 5

Move

5 x

to the left side

- 3 x = - 5

Divide both sides by

- 3

x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = \frac{5}{3}

\frac{x !}{( x - 2 ) !} = 30

\frac{6}{x} = - \frac{2}{9}

\frac{6}{( x + 2 )} = 12

\frac{x}{x - 6} = \frac{1}{x - 4}

\frac{x ^{2} + 4}{x ^{2} - 16} = 0