What is the answer to (a^{-1})/2 =3 ?

The answer to (a^{-1})/2 =3 is a= 1/6

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(a^{-1})/2 =3

\frac{a ^{- 1}}{2} = 3

a = \frac{1}{6}

Decimal Notation

a = 0.16666 \dots

Solution steps

\frac{a ^{- 1}}{2} = 3

Refine

\frac{1}{2 a} = 3

Multiply both sides by

a

\frac{1}{2} = 3 a

Switch sides

3 a = \frac{1}{2}

Divide both sides by

3

a = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{1}{6}

90 = \frac{120 e ^{- 0} 0.01}{t}

\frac{1}{2 x ( \frac{3}{4} + x )} = - \frac{7}{10}

\frac{( m ^{2} - ( m + 1 ) ( m + 5 ) )}{( 2 m + 1 )} = 10

\frac{x ^{4} + 9}{6 x ^{2}} = \frac{5}{3}

\frac{n}{s} = 60