What is the answer to 4/x-5= 6/9 ?

The answer to 4/x-5= 6/9 is x= 12/17

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4/x-5= 6/9

\frac{4}{x} - 5 = \frac{6}{9}

x = \frac{12}{17}

Decimal Notation

x = 0.70588 \dots

Solution steps

\frac{4}{x} - 5 = \frac{6}{9}

Multiply by LCM

36 - 45 x = 6 x

Move

36

to the right side

- 45 x = 6 x - 36

Move

6 x

to the left side

- 51 x = - 36

Divide both sides by

- 51

x = \frac{12}{17}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{12}{17}

a, \frac{5 + b}{1 - a} = 3 b

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

\frac{9}{10 r} = \frac{7}{5}

\frac{1 - x ^{- 1}}{1 - x ^{- 8}} = 0

x, y - \frac{y}{x} = 1