What is the answer to (x+1)/x = 29/10 ?

The answer to (x+1)/x = 29/10 is x= 10/19

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(x+1)/x = 29/10

\frac{x + 1}{x} = \frac{29}{10}

x = \frac{10}{19}

Decimal Notation

x = 0.52631 \dots

Solution steps

\frac{x + 1}{x} = \frac{29}{10}

Cross multiply

10 x + 10 = x \cdot 29

Move

10

to the right side

10 x = x \cdot 29 - 10

Move

x 29

to the left side

- 19 x = - 10

Divide both sides by

- 19

x = \frac{10}{19}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{19}

(\frac{( x + 1 )}{( x - 4 )})^{2} = \frac{( x + 8 )}{( x - 2 )}

a, \frac{1}{a} + \frac{2}{b} = \frac{1}{3}

\frac{1.2}{43} = \frac{4.8}{x}

\frac{( 2 + x ) ( x - 7 )}{( x - 5 ) ( x + 4 )} = 1

4 \frac{x ^{2}}{x} - 1 - 1 - 3 \frac{x}{4} = 20 \frac{x}{3}

What is the answer to (x+1)/x = 29/10 ?
The answer to (x+1)/x = 29/10 is x= 10/19
Solve for x: (x+1)/x = 29/10
The solution is x= 10/19