Given:
The fraction is:
[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]
To find:
The expression that is equivalent to the given fraction.
Solution:
We have,
[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]
After taking LCM, we get
[tex]\dfrac{\dfrac{-2y+5x}{xy}}{\dfrac{3x-2y}{xy}}[/tex]
[tex]\dfrac{-2y+5x}{3x-2y}[/tex]
Therefore, the correct option is A.
