Помогите решить систему из 1) 1/x-1/y=3/4 2)xy=2

Решите задачу:

$\left \{ {{\frac{1}{x}-\frac{1}{y}=\frac{3}{4}} \atop {xy=2}} \right. \; \left \{ {{\frac{y-x}{xy}=\frac{3}{4}} \atop {xy=2}} \right. \; \left \{ {{\frac{y-x}{2}=\frac{3}{4} \atop {xy=2}} \right. \; \left \{ {{4(y-x)=6} \atop {xy=2}} \right. \; \left \{ {{\frac{4}{x}-2x=3} \atop {y=\frac{2}{x}}} \right. \\\\\frac{4}{x}-2x=3\\\\\frac{4-2x-3x}{x}=0\; \; \Rightarrow \; \; \left \{ {{4-5x=0} \atop {x\ne 0}} \righ\; \; \left \{ {{x=\frac{4}{5}=0,8} \atop {y=\frac{5}{2}=2,5}} \right.$