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Respuesta :

choixongdong
   (-2y + 5x)               (3x - 2y)
= ----------------  /  -----------------------
         xy                         xy

    (-2y + 5x)                 xy
= ----------------  * -------------------
         xy                    (3x - 2y)

    (-2y + 5x)                 
= ---------------
     (3x - 2y)

answer is A. first one
kudzordzifrancis
ANSWER

The correct answer is option A.

EXPLANATION

We want to simplify the expression,

[tex] \frac{ \frac{ - 2}{x} + \frac{5}{y} }{ \frac{3}{y} - \frac{2}{x} } [/tex]


We collect LCM to obtain,

[tex] \frac{ \frac{ - 2y + 5x}{xy} }{ \frac{3x - 2y}{xy} } [/tex]


We change the middle bar in to normal division sign to obtain,


[tex] \frac{ - 2y + 5x}{xy} \div \frac{3x - 2y}{xy} [/tex]


We now multiply the first fraction by the reciprocal of the second fraction to obtain,.
[tex] \frac{ - 2y + 5x}{xy} \times \frac{xy}{3x - 2y} [/tex]


We cancel out common factors to obtain,

[tex] \frac{ - 2y + 5x}{3x - 2y} [/tex]



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