What is the answer to 5/(7k+4)= 2/(2k-3) ?

The answer to 5/(7k+4)= 2/(2k-3) is k=-23/4

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5/(7k+4)= 2/(2k-3)

\frac{5}{7 k + 4} = \frac{2}{2 k - 3}

k = - \frac{23}{4}

Decimal Notation

k = - 5.75

Solution steps

\frac{5}{7 k + 4} = \frac{2}{2 k - 3}

Cross multiply

10 k - 15 = 14 k + 8

Move

15

to the right side

10 k = 14 k + 23

Move

14 k

to the left side

- 4 k = 23

Divide both sides by

- 4

k = - \frac{23}{4}

Verify Solutions

Find undefined (singularity) points:

k = - \frac{4}{7}, k = \frac{3}{2}

Combine undefined points with solutions:

k = - \frac{23}{4}

\frac{1}{x - 1} + 4 = \frac{9}{x - 1}

\frac{x + 1}{x - 5} = \frac{5}{3}

\frac{5}{4 x - 6} = \frac{2}{x - 9}

\frac{1}{x} = a^{2}

- 50 = \frac{1}{2 ( - 9.8 ) x ^{2}}

What is the answer to 5/(7k+4)= 2/(2k-3) ?
The answer to 5/(7k+4)= 2/(2k-3) is k=-23/4
Solve for k: 5/(7k+4)= 2/(2k-3)
The solution is k=-23/4