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

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

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1/(3x-1)= 1/5

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

x = 2

Solution steps

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

Cross multiply

5 = 3 x - 1

Switch sides

3 x - 1 = 5

Move

1

to the right side

3 x = 6

Divide both sides by

3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}

Combine undefined points with solutions:

x = 2

x, y + \frac{1}{x} = 0

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

8 x - x^{- 2} = 0

12 - \frac{25}{x} = 4 + \frac{7}{x}

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