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

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

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

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

u = - 2

Solution steps

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

Cross multiply

3 u - 1 = u - 5

Move

1

to the right side

3 u = u - 4

Move

u

to the left side

2 u = - 4

Divide both sides by

2

u = - 2

Verify Solutions

Find undefined (singularity) points:

u = 5, u = \frac{1}{3}

Combine undefined points with solutions:

u = - 2

\frac{3}{n} - 2 = 0

\frac{x}{4 x ^{2} + 12 x + 3} = 0

\frac{2}{t} = \frac{8}{12}

\frac{x - 3}{x} = 2 x

\frac{3}{4} = \frac{15}{2 x}

What is the answer to 1/(u-5)= 1/(3u-1) ?
The answer to 1/(u-5)= 1/(3u-1) is u=-2
Solve for u: 1/(u-5)= 1/(3u-1)
The solution is u=-2