What is the answer to 1.1=2-1/x ?

The answer to 1.1=2-1/x is x= 10/9

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1.1=2-1/x

1.1 = 2 - \frac{1}{x}

x = \frac{10}{9}

Decimal Notation

x = 1.11111 \dots

Solution steps

1.1 = 2 - \frac{1}{x}

Move

2

to the left side

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

Multiply both sides by

x

- 0.9 x = - 1

Multiply both sides by

10

- 9 x = - 10

Divide both sides by

- 9

x = \frac{10}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{9}

\frac{5}{3} = \frac{10}{x}

x, y = \frac{4}{x}

\frac{10000}{x} + 1 = 3.3

\frac{1.5}{x} = \frac{1}{120}

0.2 = \frac{0.0052200000000 \dots}{x}