Answer:
[tex]\dfrac{5x -2y}{3x - 2y}[/tex]
Step-by-step explanation:
I think you mean this:
[tex]\dfrac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}=[/tex]
[tex] = \dfrac{\frac{-2y}{xy} + \frac{5x}{xy}}{\frac{3x}{xy} - \frac{2y}{xy}} [/tex]
[tex]= \dfrac{\frac{5x -2y}{xy}}{\frac{3x - 2y}{xy}}[/tex]
[tex] = \dfrac{5x -2y}{xy} \times \dfrac{xy}{3x - 2y} [/tex]
[tex] = \dfrac{5x -2y}{3x - 2y} [/tex]
