What is the answer to (2k+1)/(k-3)= 2/5 ?

The answer to (2k+1)/(k-3)= 2/5 is k=-11/8

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(2k+1)/(k-3)= 2/5

\frac{2 k + 1}{k - 3} = \frac{2}{5}

k = - \frac{11}{8}

Decimal Notation

k = - 1.375

Solution steps

\frac{2 k + 1}{k - 3} = \frac{2}{5}

Cross multiply

10 k + 5 = 2 k - 6

Move

5

to the right side

10 k = 2 k - 11

Move

2 k

to the left side

8 k = - 11

Divide both sides by

8

k = - \frac{11}{8}

Verify Solutions

Find undefined (singularity) points:

k = 3

Combine undefined points with solutions:

k = - \frac{11}{8}

\frac{3 x}{x ^{2} + 5 x - 1} = 0

\frac{( 1 + x ) ( x )}{5 - x} = 0.255

\frac{2 π}{b} = 2

\frac{2 π}{b} = 8

- 1 = \frac{1}{x}

What is the answer to (2k+1)/(k-3)= 2/5 ?
The answer to (2k+1)/(k-3)= 2/5 is k=-11/8
Solve for k: (2k+1)/(k-3)= 2/5
The solution is k=-11/8