What is the answer to 1/(2x-1)-1/x =0 ?

The answer to 1/(2x-1)-1/x =0 is x=1

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1/(2x-1)-1/x =0

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

x = 1

Solution steps

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

Multiply by LCM

- x + 1 = 0

Move

1

to the right side

- x = - 1

Divide both sides by

- 1

x = 1

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 1

y, z = \frac{1}{y - g}

\frac{2 x - 1}{x + 2} = \frac{4}{5}

\frac{1}{x} = 0

\frac{x}{x - 3} = \frac{3}{x - 3} + 9

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