What is the answer to 3/(4x-9)=27 ?

The answer to 3/(4x-9)=27 is x= 41/18

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3/(4x-9)=27

\frac{3}{4 x - 9} = 27

x = \frac{41}{18}

Decimal Notation

x = 2.27777 \dots

Solution steps

\frac{3}{4 x - 9} = 27

Multiply both sides by

4 x - 9

3 = 27 (4 x - 9)

Switch sides

27 (4 x - 9) = 3

Divide both sides by

27

4 x - 9 = \frac{1}{9}

Move

9

to the right side

4 x = \frac{82}{9}

Divide both sides by

4

x = \frac{41}{18}

Verify Solutions

Find undefined (singularity) points:

x = \frac{9}{4}

Combine undefined points with solutions:

x = \frac{41}{18}

\frac{100 - x ^{2}}{x} = 2 x

\frac{1}{x} = 0.15

F = \frac{m v ^{2}}{r}, r

\frac{12}{n} = \frac{2}{12}

1 - x = \frac{2.47 x}{1 + ( 1.47 x )}