What is the answer to (-3)/(k-2)=(5k)/(23) ?

The answer to (-3)/(k-2)=(5k)/(23) is k=1+i(8sqrt(5))/5 ,k=1-i(8sqrt(5))/5

Solve for k: (-3)/(k-2)=(5k)/(23)

The solution is k=1+i(8sqrt(5))/5 ,k=1-i(8sqrt(5))/5

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\frac{- 3}{k - 2} = \frac{5 k}{23}

k = 1 + i \frac{8 5}{5}, k = 1 - i \frac{8 5}{5}

Solution steps

\frac{- 3}{k - 2} = \frac{5 k}{23}

Cross multiply

- 69 = (k - 2) \cdot 5 k

Solve

- 69 = (k - 2) \cdot 5 k : k = 1 + i \frac{8 5}{5}, k = 1 - i \frac{8 5}{5}

k = 1 + i \frac{8 5}{5}, k = 1 - i \frac{8 5}{5}

\frac{3 x - 9}{3 x + 9} = \frac{2}{3}

\frac{8}{9} = \frac{5}{x}

0.12 = \frac{x}{0.015 - x}

\frac{2}{x + 1} = \frac{x}{10}

\frac{10}{x} + 3 = 8

What is the answer to (-3)/(k-2)=(5k)/(23) ?
The answer to (-3)/(k-2)=(5k)/(23) is k=1+i(8sqrt(5))/5 ,k=1-i(8sqrt(5))/5
Solve for k: (-3)/(k-2)=(5k)/(23)
The solution is k=1+i(8sqrt(5))/5 ,k=1-i(8sqrt(5))/5