What is the answer to solvefor x, 1/x+1/y = 1/3 ?

The answer to solvefor x, 1/x+1/y = 1/3 is x=-(3y)/(3-y);\quad y\ne 3

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solvefor x, 1/x+1/y = 1/3

solve for

x, \frac{1}{x} + \frac{1}{y} = \frac{1}{3}

x = - \frac{3 y}{3 - y}; y \neq = 3

Solution steps

\frac{1}{x} + \frac{1}{y} = \frac{1}{3}

Multiply by LCM

3 y + 3 x = x y

Move

3 y

to the right side

3 x = x y - 3 y

Move

x y

to the left side

3 x - x y = - 3 y

Factor

3 x - x y : x (3 - y)

x (3 - y) = - 3 y

Divide both sides by

3 - y; y \neq = 3

x = - \frac{3 y}{3 - y}; y \neq = 3

\frac{x}{4 ( x - \frac{6}{2} )} = x \frac{( x - 3 )}{14}

\frac{17 ( 2 - x ) - 5 ( x + 12 )}{1 - 7 x} = 8

\frac{2 + x}{( x + 1 )} = 1 + 3

\frac{14}{( n + 7 )} = \frac{10}{( n - 4 )}

1.8 = \frac{x}{( 1 - x ) \cdot 55.5}

What is the answer to solvefor x, 1/x+1/y = 1/3 ?
The answer to solvefor x, 1/x+1/y = 1/3 is x=-(3y)/(3-y);\quad y\ne 3