What is the answer to (4k-10)/k =8 ?

The answer to (4k-10)/k =8 is k=-5/2

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(4k-10)/k =8

\frac{4 k - 10}{k} = 8

k = - \frac{5}{2}

Solution steps

\frac{4 k - 10}{k} = 8

Multiply both sides by

k

4 k - 10 = 8 k

Move

10

to the right side

4 k = 8 k + 10

Move

8 k

to the left side

- 4 k = 10

Divide both sides by

- 4

k = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = - \frac{5}{2}

V = \frac{4 π ^{2} R ^{3}}{T ^{2}}

x, f = \frac{k}{x + 1} + 2

\frac{x ^{2}}{x + 160} = 80

\frac{3}{x} + \frac{4}{x + 1} = 2

\frac{9 y - 12 + 7}{y} = 0