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

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

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2-1/(x-1)=4

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Move

2

to the right side

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

Multiply both sides by

x - 1

- 1 = 2 (x - 1)

Switch sides

2 (x - 1) = - 1

Divide both sides by

2

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

Move

1

to the right side

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{x - 7}{x + 2} = \frac{1}{4}

\frac{12}{5} = \frac{36}{x}

\frac{6}{10} = \frac{x}{x + 2}

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

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