What is the answer to (x+1)/x = 10/3 ?

The answer to (x+1)/x = 10/3 is x= 3/7

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(x+1)/x = 10/3

\frac{x + 1}{x} = \frac{10}{3}

x = \frac{3}{7}

Decimal Notation

x = 0.42857 \dots

Solution steps

\frac{x + 1}{x} = \frac{10}{3}

Cross multiply

3 x + 3 = x \cdot 10

Move

3

to the right side

3 x = x \cdot 10 - 3

Move

x 10

to the left side

- 7 x = - 3

Divide both sides by

- 7

x = \frac{3}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{7}

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\frac{4}{∣ x + 1 ∣ - 2} = ∣ x + 1 ∣

\frac{- 5}{11} = \frac{5 b - 4}{2 b + 12}

\frac{x ^{2} + 3}{4 x} = \frac{1}{4}