What is the answer to 9/(k-7)= 6/k ?

The answer to 9/(k-7)= 6/k is k=-14

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9/(k-7)= 6/k

\frac{9}{k - 7} = \frac{6}{k}

k = - 14

Solution steps

\frac{9}{k - 7} = \frac{6}{k}

Cross multiply

9 k = 6 k - 42

Move

6 k

to the left side

3 k = - 42

Divide both sides by

3

k = - 14

Verify Solutions

Find undefined (singularity) points:

k = 7, k = 0

Combine undefined points with solutions:

k = - 14

\frac{6}{x} = 3

\frac{1}{x - 1} + 5 = \frac{11}{x - 1}

\frac{x ^{2} + x}{x - 1} = 6

\frac{5 x - 1}{x - 9} = \frac{8}{3}

12 + \frac{20}{x} = 10