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

The answer to solvefor y,x-1/x =y-1/y is y=x,y=-1/x ;\quad x\ne 0

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solvefor y,x-1/x =y-1/y

solve for

y, x - \frac{1}{x} = y - \frac{1}{y}

y = x, y = - \frac{1}{x}; x \neq = 0

Solution steps

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

Multiply by LCM

y x^{2} - y = y^{2} x - x

Solve

y x^{2} - y = y^{2} x - x : y = x, y = - \frac{1}{x}; x \neq = 0

y = x, y = - \frac{1}{x}; x \neq = 0

y, \frac{x}{( y + x )} = \frac{1}{5}

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

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

\frac{12}{x} = 4

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

What is the answer to solvefor y,x-1/x =y-1/y ?
The answer to solvefor y,x-1/x =y-1/y is y=x,y=-1/x ;\quad x\ne 0