What is the answer to 1+2/(3k)= 4/k ?

The answer to 1+2/(3k)= 4/k is k= 10/3

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1+2/(3k)= 4/k

1 + \frac{2}{3 k} = \frac{4}{k}

k = \frac{10}{3}

Solution steps

1 + \frac{2}{3 k} = \frac{4}{k}

Multiply by LCM

3 k + 2 = 12

Move

2

to the right side

3 k = 10

Divide both sides by

3

k = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = \frac{10}{3}

\frac{7 x - 3}{x ^{2} + 9} = 1

a, \frac{a + b}{a - 3 b} = 5

- \frac{8}{x + 3} = 0

\frac{8}{x} = \frac{12}{x + 20}

F, R = \frac{F}{N + F}