What is the answer to (-3)/((k-8))=(5k)/(16) ?

The answer to (-3)/((k-8))=(5k)/(16) is k=(4(5+sqrt(10)))/5 ,k=(4(5-sqrt(10)))/5

Solve for k: (-3)/((k-8))=(5k)/(16)

The solution is k=(4(5+sqrt(10)))/5 ,k=(4(5-sqrt(10)))/5

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\frac{- 3}{( k - 8 )} = \frac{5 k}{16}

k = \frac{4 ( 5 + 10 )}{5}, k = \frac{4 ( 5 - 10 )}{5}

Solution steps

\frac{- 3}{( k - 8 )} = \frac{5 k}{16}

Cross multiply

- 48 = (k - 8) \cdot 5 k

Solve

- 48 = (k - 8) \cdot 5 k : k = \frac{4 ( 5 + 10 )}{5}, k = \frac{4 ( 5 - 10 )}{5}

k = \frac{4 ( 5 + 10 )}{5}, k = \frac{4 ( 5 - 10 )}{5}

Verify Solutions

Find undefined (singularity) points:

k = 8

Combine undefined points with solutions:

k = \frac{4 ( 5 + 10 )}{5}, k = \frac{4 ( 5 - 10 )}{5}

x, \frac{4}{x} = 0.21

- \frac{1}{x - 4} = 8

\frac{4}{x} = \frac{16}{4}

\frac{100}{x} = \frac{30}{28.25}

b \cdot (\frac{4}{b}) = 4, b, = 0

What is the answer to (-3)/((k-8))=(5k)/(16) ?
The answer to (-3)/((k-8))=(5k)/(16) is k=(4(5+sqrt(10)))/5 ,k=(4(5-sqrt(10)))/5
Solve for k: (-3)/((k-8))=(5k)/(16)
The solution is k=(4(5+sqrt(10)))/5 ,k=(4(5-sqrt(10)))/5