Which expression is equivalent to the following complex fraction?
![Which expression is equivalent to the following complex fraction class=](https://us-static.z-dn.net/files/d39/d8e3f777f41429cc960efb5154513d1d.png)
Answer:
The first option is correct, (-2y + 5x) / (3x - 2y)
Step-by-step explanation:
[tex](\frac{-2}{x} + \frac{5}{y} ) \div (\frac{3}{y} - \frac{2}{x})\\= \frac{-2y + 5x}{xy} \div \frac{3x - 2y}{xy}\\= \frac{-2y + 5x}{xy} \times \frac{xy}{3x - 2y}\\= \frac{-2y + 5x}{3x - 2y}[/tex]