What is the answer to solvefor x, 1/x+1/y = 1/13 ?

The answer to solvefor x, 1/x+1/y = 1/13 is x=-(13y)/(13-y);\quad y\ne 13

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solvefor x, 1/x+1/y = 1/13

solve for

x, \frac{1}{x} + \frac{1}{y} = \frac{1}{13}

x = - \frac{13 y}{13 - y}; y \neq = 13

Solution steps

\frac{1}{x} + \frac{1}{y} = \frac{1}{13}

Multiply by LCM

13 y + 13 x = x y

Move

13 y

to the right side

13 x = x y - 13 y

Move

x y

to the left side

13 x - x y = - 13 y

Factor

13 x - x y : x (13 - y)

x (13 - y) = - 13 y

Divide both sides by

13 - y; y \neq = 13

x = - \frac{13 y}{13 - y}; y \neq = 13

b, a = 2 - \frac{1}{( 1 + b )}

\frac{7}{( 10 x )} = \frac{3}{20 + 5}

\frac{b}{4} = \frac{a}{x + 6}

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

\frac{x - 4}{x - 2} = \frac{- 3}{4}

What is the answer to solvefor x, 1/x+1/y = 1/13 ?
The answer to solvefor x, 1/x+1/y = 1/13 is x=-(13y)/(13-y);\quad y\ne 13