What is the answer to (2k-3)/(k+9)= 3/5 ?

The answer to (2k-3)/(k+9)= 3/5 is k=6

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(2k-3)/(k+9)= 3/5

\frac{2 k - 3}{k + 9} = \frac{3}{5}

k = 6

Solution steps

\frac{2 k - 3}{k + 9} = \frac{3}{5}

Cross multiply

10 k - 15 = 3 k + 27

Move

15

to the right side

10 k = 3 k + 42

Move

3 k

to the left side

7 k = 42

Divide both sides by

7

k = 6

Verify Solutions

Find undefined (singularity) points:

k = - 9

Combine undefined points with solutions:

k = 6

- \frac{2}{x ^{3}} = 0

\frac{4}{x} = 8

x, z = \frac{x + y}{x - y}

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

\frac{12}{8} = \frac{6}{x}

What is the answer to (2k-3)/(k+9)= 3/5 ?
The answer to (2k-3)/(k+9)= 3/5 is k=6
Solve for k: (2k-3)/(k+9)= 3/5
The solution is k=6