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

The answer to 7/4 = 2/(k-5) is k= 43/7

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7/4 = 2/(k-5)

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

k = \frac{43}{7}

Decimal Notation

k = 6.14285 \dots

Solution steps

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

Cross multiply

7 (k - 5) = 8

Divide both sides by

7

k - 5 = \frac{8}{7}

Move

5

to the right side

k = \frac{43}{7}

Verify Solutions

Find undefined (singularity) points:

k = 5

Combine undefined points with solutions:

k = \frac{43}{7}

\frac{x + 4}{2} - \frac{2 x - 2}{x} = 1

3 π = \frac{2 π}{b}

\frac{7}{x + 3} = \frac{x}{4}

\frac{5 - 2 x}{x ^{2} - 1} = - 5

\frac{4}{x} = \frac{5}{7}