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

The answer to |(6x+1)/(x-1)|=3 is x=-4/3 ,x= 2/9

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|(6x+1)/(x-1)|=3

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

x = - \frac{4}{3}, x = \frac{2}{9}

Solution steps

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

Simplify

\frac{6 x + 1}{x - 1} : \frac{∣ 6 x + 1 ∣}{∣ x - 1 ∣}

\frac{∣ 6 x + 1 ∣}{∣ x - 1 ∣} = 3

Multiply both sides by

∣ x - 1 ∣

∣ 6 x + 1 ∣ = 3 ∣ x - 1 ∣

Solve

∣ 6 x + 1 ∣ = 3 ∣ x - 1 ∣ : x = - \frac{4}{3} or x = \frac{2}{9}

x = - \frac{4}{3}, x = \frac{2}{9}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{4}{3}, x = \frac{2}{9}

28 x^{2} + x - 2

\frac{- 9}{14} + \frac{7}{6}

- 0.4 = 3 g - 0.9

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

36 x^{2} - 12 x + 1

What is the answer to |(6x+1)/(x-1)|=3 ?
The answer to |(6x+1)/(x-1)|=3 is x=-4/3 ,x= 2/9
Solve for x: |(6x+1)/(x-1)|=3
The solution is x=-4/3 ,x= 2/9