What is (2/x+3/y}{\frac{-5)/x+7/y} ?

The solution to (2/x+3/y}{\frac{-5)/x+7/y} is (2y+3x)/(-5y+7x)

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simplify (2/x+3/y}{\frac{-5)/x+7/y}

simplify

\frac{\frac{2}{x} + \frac{3}{y}}{\frac{- 5}{x} + \frac{7}{y}}

\frac{2 y + 3 x}{- 5 y + 7 x}

Solution steps

\frac{\frac{2}{x} + \frac{3}{y}}{\frac{- 5}{x} + \frac{7}{y}}

Apply the fraction rule:

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

\frac{- 5}{x} = - \frac{5}{x}

= \frac{\frac{2}{x} + \frac{3}{y}}{- \frac{5}{x} + \frac{7}{y}}

Join

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

= \frac{\frac{2 y + 3 x}{x y}}{- \frac{5}{x} + \frac{7}{y}}

Join

- \frac{5}{x} + \frac{7}{y} : \frac{- 5 y + 7 x}{x y}

= \frac{\frac{2 y + 3 x}{x y}}{\frac{- 5 y + 7 x}{x y}}

Apply the fraction rule:

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

= \frac{( 2 y + 3 x ) x y}{x y ( - 5 y + 7 x )}

Cancel

\frac{( 2 y + 3 x ) x y}{x y ( - 5 y + 7 x )} : \frac{2 y + 3 x}{- 5 y + 7 x}

= \frac{2 y + 3 x}{- 5 y + 7 x}

(25 + 37)^{2}

lo g_{2} (3.5)

10 k^{2} + 75 k + 35

2 n^{2} + 3 n - 9

49 x^{2} - 42 x y + 9 y^{2}

What is (2/x+3/y}{\frac{-5)/x+7/y} ?
The solution to (2/x+3/y}{\frac{-5)/x+7/y} is (2y+3x)/(-5y+7x)