Нужна помощь!! Это система уравнений(1/x)+(1/y)=3/2(1/x^2)+(1/y^2)=5/4

[latex]\begin{cases}\frac1x+\frac1y=\frac32\\\frac1{x^2}+\frac1{y^2}=\frac54\end{cases}\Rightarrow\begin{cases}\frac1x=\frac32-\frac1y\\\left(\frac32-\frac1y\right)^2+\frac1{y^2}=\frac54\end{cases}\\\left(\frac32-\frac1y\right)^2+\frac1{y^2}=\frac54\\\frac94-\frac6{2y}+\frac1{y^2}+\frac1{y^2}=\frac54\\\frac3y=\frac94-\frac54\\\frac3y=1\\y=3[/latex] [latex]\begin{cases}\frac1x=\frac32-\frac13\\y=3\end{cases}\Rightarrow\begin{cases}\frac1x=\frac12\\y=3\end{cases}\Rightarrow\begin{cases}x=2\\y=3\end{cases}[/latex]