What is the answer to 5=(3a-2)^{-1} ?

The answer to 5=(3a-2)^{-1} is a= 11/15

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5=(3a-2)^{-1}

5 = (3 a - 2)^{- 1}

a = \frac{11}{15}

Decimal Notation

a = 0.73333 \dots

Solution steps

5 = (3 a - 2)^{- 1}

Refine

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

Multiply both sides by

3 a - 2

5 (3 a - 2) = 1

Divide both sides by

5

3 a - 2 = \frac{1}{5}

Move

2

to the right side

3 a = \frac{11}{5}

Divide both sides by

3

a = \frac{11}{15}

Verify Solutions

Find undefined (singularity) points:

a = \frac{2}{3}

Combine undefined points with solutions:

a = \frac{11}{15}

2 + \frac{1}{x + 4} = 0

\frac{12}{3} = \frac{36}{x}

997773 = \frac{99122}{x}

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

\frac{2}{2 x + 5} = \frac{3}{x + 5}