What is the answer to 7/(k-2)= 5/8 ?

The answer to 7/(k-2)= 5/8 is k= 66/5

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7/(k-2)= 5/8

\frac{7}{k - 2} = \frac{5}{8}

k = \frac{66}{5}

Solution steps

\frac{7}{k - 2} = \frac{5}{8}

Cross multiply

56 = (k - 2) \cdot 5

Switch sides

(k - 2) \cdot 5 = 56

Divide both sides by

5

k - 2 = \frac{56}{5}

Move

2

to the right side

k = \frac{66}{5}

Verify Solutions

Find undefined (singularity) points:

k = 2

Combine undefined points with solutions:

k = \frac{66}{5}

\frac{x - 2}{x} = \frac{3}{5}

\frac{24}{s} = \frac{4}{12}

x + \frac{1}{x} = \frac{1}{2}

x, x + \frac{6}{x} = 5

\frac{- 7}{2 x - 2} = \frac{- 4}{x + 5}