What is the answer to 3= 7/(r-6) ?

The answer to 3= 7/(r-6) is r= 25/3

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3= 7/(r-6)

3 = \frac{7}{r - 6}

r = \frac{25}{3}

Solution steps

3 = \frac{7}{r - 6}

Multiply both sides by

r - 6

3 (r - 6) = 7

Divide both sides by

3

r - 6 = \frac{7}{3}

Move

6

to the right side

r = \frac{25}{3}

Verify Solutions

Find undefined (singularity) points:

r = 6

Combine undefined points with solutions:

r = \frac{25}{3}

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

(x) = \frac{( x ^{2} - 7 x + 12 )}{( 7 x )}

\frac{8 x}{x + 1} = 3 - \frac{8}{x + 1}

\frac{7 x}{x + 1} = 3 - \frac{7}{x + 1}

\frac{12}{15} = \frac{20}{x}