What is the answer to 6/(4x-1)= 2/9 ?

The answer to 6/(4x-1)= 2/9 is x=7

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6/(4x-1)= 2/9

\frac{6}{4 x - 1} = \frac{2}{9}

x = 7

Solution steps

\frac{6}{4 x - 1} = \frac{2}{9}

Cross multiply

54 = (4 x - 1) \cdot 2

Switch sides

(4 x - 1) \cdot 2 = 54

Divide both sides by

2

4 x - 1 = 27

Move

1

to the right side

4 x = 28

Divide both sides by

4

x = 7

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{4}

Combine undefined points with solutions:

x = 7

\frac{8}{x} = \frac{16}{4}

\frac{8}{6} = \frac{2}{v}

80 = \frac{( x + 300 ) x}{( x + 300 ) + x}

\frac{28}{21} = \frac{35 - x}{x}

2.5 = \frac{2612.5}{x}