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

The answer to 6/(2k-6)=3 is k=4

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6/(2k-6)=3

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

k = 4

Solution steps

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

Simplify

\frac{6}{2 k - 6} : \frac{3}{k - 3}

\frac{3}{k - 3} = 3

Multiply both sides by

k - 3

3 = 3 (k - 3)

Switch sides

3 (k - 3) = 3

Divide both sides by

3

k - 3 = 1

Move

3

to the right side

k = 4

Verify Solutions

Find undefined (singularity) points:

k = 3

Combine undefined points with solutions:

k = 4

\frac{y + 4}{3 y - 8} = 1

(8 + x)^{- 3} = 64

1 - \frac{8}{x ^{3}} = 0

x^{- 2} + 2 x^{- 1} - 8 = 0

2 - \frac{1}{7 x} = \frac{10}{7}