1)$\begin{cases}\varrho ^{x-y}=\frac{\sin x}{\sin y} \\ 3.\sqrt{8x^2+3}+1= 6\sqrt{2y^2-2y=1}+8y \end{cases}$
2)$\begin{cases}(1+4^{2x-y}).5^{(1-2x+y)}= \\ y^3+4x+1+\ln ({y^2+2x})= 0 \end{cases}$
3)$\begin{cases}\sqrt{x^2-2x+6}.\log_3 (6-y)=x \\ \sqrt{y^2-2y+6}.\log_3(6-z)= y \\ \sqrt{z^2-2z+6}.\log_3(6-x)=z\end{cases}$
4) $\begin{cases}x^3+3x-3+\ln(x^2-x+1)=y \\ y^3+3y-3+\ln(y^2-y+1)=z \\ z^3+3z-3+\ln(z^2-z+1)=x \end{cases}$
5) $\begin{cases}\log_2(1+3cosx)=\log_3(siny)+2 \\ log_2(1+3siny)=log_3(cos)+2 \end{cases}$
6) $\begin{cases}x^3-12x-y^3+6y^2-16=0= \\ 4x^2+2\sqrt{4-x^2}-5\sqrt{4y-y^2}+6=0= \end{cases}$