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

The answer to 2/((1-a))=3 is a= 1/3

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2/((1-a))=3

\frac{2}{( 1 - a )} = 3

a = \frac{1}{3}

Decimal Notation

a = 0.33333 \dots

Solution steps

\frac{2}{( 1 - a )} = 3

Simplify

\frac{2}{( 1 - a )} : \frac{2}{1 - a}

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

Multiply both sides by

1 - a

2 = 3 (1 - a)

Switch sides

3 (1 - a) = 2

Divide both sides by

3

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

Move

1

to the right side

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

Divide both sides by

- 1

a = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

a = 1

Combine undefined points with solutions:

a = \frac{1}{3}

y, \frac{3 y - 2 x}{2 y - 3 x} = 0

\frac{a}{x} - \frac{7}{x} = 5 - b

\frac{10}{x - 5} + x = 1 + \frac{2 x}{x - 5}

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

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