[tex]a)\\\\\begin{cases}x+3y-2(x+y)=y-2\\ 3(4x-y)-11(x+y)=5-13y\end{cases}\\\\\begin{cases}x+3y-2 x-2y =y-2\\ 12x-3y -11x-11y=5-13y\end{cases}\\\\\begin{cases}-x+ y-y=-2\\ x-14y+13y=5 \end{cases}\\\\ \begin{cases}-x =-2\ \ |*(-1)\\ x- y =5 \end{cases}\\\\ \begin{cases} x = 2 \\ 2- y =5 \end{cases} \\\\ \begin{cases} x = 2 \\ - y =5-2 \end{cases}[/tex]
[tex]\begin{cases} x = 2 \\ - y =3\ \ |*(-1) \end{cases}\\\\ \begin{cases} x = 2 \\ y =-3\end{cases}[/tex]
[tex]\begin{cases} \frac{x-1}{2} -\frac{ y+1}{3} =1\ \ |*6\\(2x+1)^2-(3y+1)^2=(2x+3y)(2x-3y)-32 \end{cases}\\\\ \begin{cases}3( x-1 ) - 2( y+1 ) = 6\\4x^2+4x+1 -(9y^2+6y+1) =4x^2-9y^2 -32 \end{cases} \\\\ \begin{cases}3 x-3 - 2y-2 = 6\\4x^2+4x+1 - 9y^2-6y-1=4x^2-9y^2 -32 \end{cases}\\\\ \begin{cases}3 x - 2y = 6+3+2\\4x^2+4x - 9y^2-6y-4x^2+9y^2= -32 \end{cases}\\\\ \begin{cases}3x-2y=11\ \ |*(-3)\\ 4x -6y = -32 \end{cases}[/tex]
[tex]\begin{cases}-9x+6 = -33\\ 4x -6y = -32 \end{cases}\\+--------\\-5x=-65\ \ |:(-5)\\x=13\\\\3x-2y=11\\3*13 -2y=11\\39-2y=11\\-2y=11-39\\-2y=-28\ \ |:(-2)\\y=14\\\\\begin{cases}x=13\\y=14 \end{cases}[/tex]
