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

The answer to 1/(6y-1)=3 is y= 2/9

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1/(6y-1)=3

\frac{1}{6 y - 1} = 3

y = \frac{2}{9}

Decimal Notation

y = 0.22222 \dots

Solution steps

\frac{1}{6 y - 1} = 3

Multiply both sides by

6 y - 1

1 = 3 (6 y - 1)

Switch sides

3 (6 y - 1) = 1

Divide both sides by

3

6 y - 1 = \frac{1}{3}

Move

1

to the right side

6 y = \frac{4}{3}

Divide both sides by

6

y = \frac{2}{9}

Verify Solutions

Find undefined (singularity) points:

y = \frac{1}{6}

Combine undefined points with solutions:

y = \frac{2}{9}

\frac{1}{4} = \frac{400}{x ^{2}}

54.3 = \frac{2 x}{( 0.05 - x ) ^{2}}

y, x = \frac{4 y}{y - 2}

\frac{1}{- b + 3} = \frac{b}{2}

1.5 a^{2} = \frac{( 6 )}{( a ^{2} )}