Answer:
First option, [tex]\frac{-2y+5x}{3x-2y}[/tex]
Step-by-step explanation:
Simplify the fraction. To make the process of solving easier, we can multiply both the numerator and denominator by x and y to get rid of the fractions as seen below. This is because the variables in the denominators of the fractions will cancel out with either the matching x or y in the numerators.
[tex]\frac{\frac{-2}{x} +\frac{5}{y} }{\frac{3}{y}-\frac{2}{x} } \\=\frac{(\frac{-2}{x} +\frac{5}{y})xy }{(\frac{3}{y}-\frac{2}{x})xy }\\=\frac{-2y+5x}{3x-2y}[/tex]
Thus, the first option is correct.
