What is the answer to (4k-6)/(3k-9)= 1/3 ?

The answer to (4k-6)/(3k-9)= 1/3 is k=1

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(4k-6)/(3k-9)= 1/3

\frac{4 k - 6}{3 k - 9} = \frac{1}{3}

k = 1

Solution steps

\frac{4 k - 6}{3 k - 9} = \frac{1}{3}

Cross multiply

12 k - 18 = 3 k - 9

Move

18

to the right side

12 k = 3 k + 9

Move

3 k

to the left side

9 k = 9

Divide both sides by

9

k = 1

Verify Solutions

Find undefined (singularity) points:

k = 3

Combine undefined points with solutions:

k = 1

0.36 = \frac{x + 0.1 ( 500 )}{x + 500}

\frac{4}{x} = \frac{2}{3}

\frac{x}{x - 2} + \frac{1}{3} = - 2

\frac{4}{x} = \frac{6}{x}

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

What is the answer to (4k-6)/(3k-9)= 1/3 ?
The answer to (4k-6)/(3k-9)= 1/3 is k=1
Solve for k: (4k-6)/(3k-9)= 1/3
The solution is k=1