What is the answer to 1/x+1/(x-15)= 1/18 ?

The answer to 1/x+1/(x-15)= 1/18 is x=45,x=6

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1/x+1/(x-15)= 1/18

\frac{1}{x} + \frac{1}{x - 15} = \frac{1}{18}

x = 45, x = 6

Solution steps

\frac{1}{x} + \frac{1}{x - 15} = \frac{1}{18}

Multiply by LCM

18 (x - 15) + 18 x = x (x - 15)

Solve

18 (x - 15) + 18 x = x (x - 15) : x = 45, x = 6

x = 45, x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 15

Combine undefined points with solutions:

x = 45, x = 6

\frac{4}{1600} = \frac{17}{x}

\frac{12}{x} = 4

30000 = 20 (\frac{4 t + 3}{2 t + 5})

n - \frac{3}{n} = \frac{26}{3}

1 - \frac{b}{x} = 0

What is the answer to 1/x+1/(x-15)= 1/18 ?
The answer to 1/x+1/(x-15)= 1/18 is x=45,x=6
Solve for x: 1/x+1/(x-15)= 1/18
The solution is x=45,x=6