What is the answer to 5/k = 1/k-1 ?

The answer to 5/k = 1/k-1 is k=-4

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5/k = 1/k-1

\frac{5}{k} = \frac{1}{k} - 1

k = - 4

Solution steps

\frac{5}{k} = \frac{1}{k} - 1

Multiply both sides by

k

5 = 1 - k

Move

k

to the left side

5 + k = 1

Move

5

to the right side

k = - 4

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = - 4

\frac{a + 10000}{a} = 1

\frac{100 \cdot x}{100 + x} = 200

\frac{1}{x} = \frac{3.93}{10}

\frac{3}{x - 7} = - \frac{1}{2}

k = (\frac{l ^{2}}{m}) + 1