What is the answer to solvefor x, 2/x+3/y =1 ?

The answer to solvefor x, 2/x+3/y =1 is x=-(2y)/(3-y);\quad y\ne 3

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solvefor x, 2/x+3/y =1

solve for

x, \frac{2}{x} + \frac{3}{y} = 1

x = - \frac{2 y}{3 - y}; y \neq = 3

Solution steps

\frac{2}{x} + \frac{3}{y} = 1

Multiply by LCM

2 y + 3 x = x y

Move

2 y

to the right side

3 x = x y - 2 y

Move

x y

to the left side

3 x - x y = - 2 y

Factor

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

x (3 - y) = - 2 y

Divide both sides by

3 - y; y \neq = 3

x = - \frac{2 y}{3 - y}; y \neq = 3

\frac{x}{( x ^{2} + 1 )} + \frac{( x ^{2} + 1 )}{x} = \frac{5}{2}

\frac{x}{( x - 1 )} + \frac{( x - 1 )}{x} = \frac{21}{2}

\frac{2}{( x - 3 )} + \frac{1}{( x - 1 )} = \frac{5}{( x - 1 )} - \frac{2}{( x - 2 )}

\frac{1}{7 \cdot x ^{2} + 1} = \frac{4}{7 \cdot x}

x, 3 y = \frac{( 7 w )}{x}

What is the answer to solvefor x, 2/x+3/y =1 ?
The answer to solvefor x, 2/x+3/y =1 is x=-(2y)/(3-y);\quad y\ne 3