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

The answer to (x+1)/x =3 is x= 1/2

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(x+1)/x =3

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Multiply both sides by

x

x + 1 = 3 x

Move

1

to the right side

x = 3 x - 1

Move

3 x

to the left side

- 2 x = - 1

Divide both sides by

- 2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

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

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

a, r = \frac{ab}{a + b}

y, x = \frac{1}{y + 2}

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