What is the answer to 5/9 =(10)/(k-12) ?

The answer to 5/9 =(10)/(k-12) is k=30

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5/9 =(10)/(k-12)

\frac{5}{9} = \frac{10}{k - 12}

k = 30

Solution steps

\frac{5}{9} = \frac{10}{k - 12}

Cross multiply

5 (k - 12) = 90

Divide both sides by

5

k - 12 = 18

Move

12

to the right side

k = 30

Verify Solutions

Find undefined (singularity) points:

k = 12

Combine undefined points with solutions:

k = 30

\frac{5 x - 10 x ^{2}}{10 - 3 x} = 0

\frac{1}{4} = x^{- 2}

x, y^{2} = 1 - \frac{2}{x}

\frac{6}{8} = \frac{21}{b}

\frac{x}{11} = \frac{4}{11 x}