What is ((-2)/x+5/y)/(3/y-2/x) ?

The solution to ((-2)/x+5/y)/(3/y-2/x) is (-2y+5x)/(3x-2y)

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simplify ((-2)/x+5/y)/(3/y-2/x)

simplify

\frac{\frac{- 2}{x} + \frac{5}{y}}{\frac{3}{y} - \frac{2}{x}}

\frac{- 2 y + 5 x}{3 x - 2 y}

Solution steps

\frac{\frac{- 2}{x} + \frac{5}{y}}{\frac{3}{y} - \frac{2}{x}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

\frac{- 2}{x} = - \frac{2}{x}

= \frac{- \frac{2}{x} + \frac{5}{y}}{\frac{3}{y} - \frac{2}{x}}

Join

- \frac{2}{x} + \frac{5}{y} : \frac{- 2 y + 5 x}{x y}

= \frac{\frac{- 2 y + 5 x}{x y}}{\frac{3}{y} - \frac{2}{x}}

Join

\frac{3}{y} - \frac{2}{x} : \frac{3 x - 2 y}{x y}

= \frac{\frac{- 2 y + 5 x}{x y}}{\frac{3 x - 2 y}{x y}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

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

Cancel

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

= \frac{- 2 y + 5 x}{3 x - 2 y}

- 12 < 4 - 2 x \leq - 5

\frac{2}{7} + \frac{1}{8} + \frac{3}{14}

\frac{π}{2} + 2

3 x + 1 = x^{2} + 7 x + 5

(2 x - 3)^{2} - 4 (2 x - 3) - 5

What is ((-2)/x+5/y)/(3/y-2/x) ?
The solution to ((-2)/x+5/y)/(3/y-2/x) is (-2y+5x)/(3x-2y)