What is the answer to (3k)/k =(20-k)/(3k) ?

The answer to (3k)/k =(20-k)/(3k) is k=2

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(3k)/k =(20-k)/(3k)

\frac{3 k}{k} = \frac{20 - k}{3 k}

k = 2

Solution steps

\frac{3 k}{k} = \frac{20 - k}{3 k}

Simplify

\frac{3 k}{k} : 3

3 = \frac{20 - k}{3 k}

Multiply both sides by

k

3 k = \frac{20 - k}{3}

Multiply both sides by

3

9 k = 20 - k

Move

k

to the left side

10 k = 20

Divide both sides by

10

k = 2

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = 2

\frac{2 x}{( 1 + x ^{2} ) ^{2}} = 0

\frac{17}{x} = \frac{2}{3}

7 y + \frac{1}{y} = 5

\frac{11}{x - 5} = \frac{- 3}{7 + 2 x}

x (5 x - 3 - \frac{2}{x}) = 0

What is the answer to (3k)/k =(20-k)/(3k) ?
The answer to (3k)/k =(20-k)/(3k) is k=2
Solve for k: (3k)/k =(20-k)/(3k)
The solution is k=2