What is the answer to solvefor x, 1/x-1/y-10=0 ?

The answer to solvefor x, 1/x-1/y-10=0 is x= y/(1+10y);\quad y\ne-1/10

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solvefor x, 1/x-1/y-10=0

solve for

x, \frac{1}{x} - \frac{1}{y} - 10 = 0

x = \frac{y}{1 + 10 y}; y \neq = - \frac{1}{10}

Solution steps

\frac{1}{x} - \frac{1}{y} - 10 = 0

Multiply by LCM

y - x - 10 x y = 0

Move

y

to the right side

- x - 10 x y = - y

Factor

- x - 10 x y : - x (1 + 10 y)

- x (1 + 10 y) = - y

Divide both sides by

- (1 + 10 y); y \neq = - \frac{1}{10}

x = \frac{y}{1 + 10 y}; y \neq = - \frac{1}{10}

\frac{5}{( \frac{( 6 - x )}{2} )} - \frac{x}{3} = 2 x + 4

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

\frac{24}{20 + x} = \frac{24 + x}{44 + x}

x, f (x)^{- 1} = \frac{( 4 x - 3 )}{( x + 4 )}

x, \frac{15}{x} + y = 7

What is the answer to solvefor x, 1/x-1/y-10=0 ?
The answer to solvefor x, 1/x-1/y-10=0 is x= y/(1+10y);\quad y\ne-1/10