What is the answer to 2/t-1=5-1/t ?

The answer to 2/t-1=5-1/t is t= 1/2

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2/t-1=5-1/t

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

t = \frac{1}{2}

Solution steps

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

Move

1

to the right side

\frac{2}{t} = - \frac{1}{t} + 6

Multiply both sides by

t

2 = - 1 + 6 t

Switch sides

- 1 + 6 t = 2

Move

1

to the right side

6 t = 3

Divide both sides by

6

t = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = \frac{1}{2}

\frac{3}{x + 3} = 12

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

\frac{3}{4} = \frac{5}{x}

\frac{1}{10} = \frac{10}{k}

\frac{2}{x} = \frac{8}{20}