What is the answer to 6/(2k-6)= 1/3 ?

The answer to 6/(2k-6)= 1/3 is k=12

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6/(2k-6)= 1/3

\frac{6}{2 k - 6} = \frac{1}{3}

k = 12

Solution steps

\frac{6}{2 k - 6} = \frac{1}{3}

Cross multiply

9 = k - 3

Switch sides

k - 3 = 9

Move

3

to the right side

k = 12

Verify Solutions

Find undefined (singularity) points:

k = 3

Combine undefined points with solutions:

k = 12

\frac{3 x}{x - 2} = \frac{3 x + 10}{x}

\frac{600}{x + 10} - 5 = x + 7

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

x + 5 = \frac{14 - 1}{2 x}

\frac{6}{2 n - 5} = \frac{2}{n - 7}