What is the answer to 4= 1/(3r-6) ?

The answer to 4= 1/(3r-6) is r= 25/12

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4= 1/(3r-6)

4 = \frac{1}{3 r - 6}

r = \frac{25}{12}

Decimal Notation

r = 2.08333 \dots

Solution steps

4 = \frac{1}{3 r - 6}

Multiply both sides by

3 r - 6

4 (3 r - 6) = 1

Divide both sides by

4

3 r - 6 = \frac{1}{4}

Move

6

to the right side

3 r = \frac{25}{4}

Divide both sides by

3

r = \frac{25}{12}

Verify Solutions

Find undefined (singularity) points:

r = 2

Combine undefined points with solutions:

r = \frac{25}{12}

\frac{x ^{2} - 2 x}{x - 3} = 8

\frac{d}{1 - d} = \frac{12}{48}

- \frac{27}{x} = x^{2}

\frac{0.5 x + 4}{5 x} = x + 12

\frac{2}{( 3 x - \frac{2}{3} )} = 12