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

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

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

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

x = \frac{1}{4}, x = \frac{1}{2}

Solution steps

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

Simplify

\frac{3 x - 1}{x} : \frac{∣ 3 x - 1 ∣}{∣ x ∣}

\frac{∣ 3 x - 1 ∣}{∣ x ∣} = 1

Multiply both sides by

∣ x ∣

∣ 3 x - 1 ∣ = ∣ x ∣

Solve

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

x = \frac{1}{4}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}, x = \frac{1}{2}

x, \frac{x + y}{x - y} = - 7

\frac{5}{x + 2} = \frac{3}{x - 1}

\frac{4}{15 x} = \frac{x}{15}

\frac{4}{6} = \frac{8}{x - 1}

\frac{( 1 - 4 x ^{2} )}{( 1 - 2 x )} = 0

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