#### Answer

The solution is:
$x=2$
$y=\frac{-3}{5}$

#### Work Step by Step

$\frac{2}{x}-\frac{3}{y}=-5$ (1)
$\frac{4}{x}+\frac{6}{y}=14$ (2)
Eliminate a variable:
$\frac{4}{x}-\frac{6}{y}=-10$ (1)
$\frac{4}{x}+\frac{6}{y}=14$ (2)
___________________
$\frac{8}{x}=4$
Solve for x: $x=2$
$y=\frac{-3}{5}$