What is the answer to 0=(3x-1)/(x-6) ?

The answer to 0=(3x-1)/(x-6) is x= 1/3

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0=(3x-1)/(x-6)

0 = \frac{3 x - 1}{x - 6}

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

0 = \frac{3 x - 1}{x - 6}

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

0 = 3 x - 1

Switch sides

3 x - 1 = 0

Move

1

to the right side

3 x = 1

Divide both sides by

3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{1}{3}

1 0^{- 5} = \frac{6. 7 ^{2}}{2 x}

\frac{1}{4} = \frac{7}{b}

- \frac{2}{x} = 6

- \frac{4}{k - 5} = - 0.8334

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