What is the answer to solvefor x, 4/x-5/y =2 ?

The answer to solvefor x, 4/x-5/y =2 is x=(4y)/(5+2y);\quad y\ne-5/2

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solvefor x, 4/x-5/y =2

solve for

x, \frac{4}{x} - \frac{5}{y} = 2

x = \frac{4 y}{5 + 2 y}; y \neq = - \frac{5}{2}

Solution steps

\frac{4}{x} - \frac{5}{y} = 2

Multiply by LCM

4 y - 5 x = 2 x y

Move

4 y

to the right side

- 5 x = 2 x y - 4 y

Move

2 x y

to the left side

- 5 x - 2 x y = - 4 y

Factor

- 5 x - 2 x y : - x (5 + 2 y)

- x (5 + 2 y) = - 4 y

Divide both sides by

- (5 + 2 y); y \neq = - \frac{5}{2}

x = \frac{4 y}{5 + 2 y}; y \neq = - \frac{5}{2}

\frac{51}{2 - 3 x} = \frac{4}{3}

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

100 - x = \frac{98.2818 - 10}{11 x}

\frac{3}{2 x - 1 + 4} = \frac{6 x}{2 x - 1}

x, \frac{3}{x} - \frac{1}{y} = \frac{5}{4}

What is the answer to solvefor x, 4/x-5/y =2 ?
The answer to solvefor x, 4/x-5/y =2 is x=(4y)/(5+2y);\quad y\ne-5/2