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

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

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

simplify

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

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

Solution steps

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

Join

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

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

Join

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

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

Apply the fraction rule:

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

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

Cancel the common factor:

x

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

x^{- 2} \cdot x^{- 3}

- 5 + (\frac{63}{9})

ln (ln (e^{e^{9}}))

\frac{3 x - 5}{6} > 5

ln (3) + ln (2)

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