[tex]c)\\\\\begin{cases}y=(2x-1)^2-(2x+3)^2 \\(2y-1)(2y+1)+96=4y(y+3)+x\end{cases}\\\\\begin{cases} y=4x^2-4x+1- (4x^2+12x+9) \\4y^2-1 +96=4y^2 +12y+x\end{cases} \\\\\begin{cases} 4x^2-4x+1- 4x^2-12x -9 -y=0\\4y^2-1 +96-4y^2 -12y-x=0\end{cases} \\\\\begin{cases} -16x-y -8 =0\ \ | *(-12)\\ -x -12y+95=0\end{cases}\\\\ \begin{cases} 192x+12 y +96 =0 \\ -x -12y+95=0\end{cases}\\ +------------\\ 191x+191=0[/tex]
[tex]191x=-191\ \ |:191\\\\x=-1\\\\y=(2x-1)^2-(2x+3)^2\\y=(2 *(-1)-1)^2-(2*(-1)+3)^2\\y=(-2-1)^2-(-2+3)^2\\y=(-3)^2-1^2\\\ y=9-1=8\\\\\begin{cases}x=-1\\y=8 \end{cases}[/tex]
[tex]\begin{cases} (x+3)(x-2)-(x+4)^2=2y-42\\(3x-y)^2-(y+2)^2=3x(3x-2y)-8x \end{cases}\\\\ \begin{cases} x^2-2x+3x+y^2-(x^2+8x+16) =2y-42\\9x^2-6xy+y^2 -(y^2+4y+4 ) = 9x^2-6xy -8x \end{cases}\\\\ \begin{cases} x^2+x-6 - x^2-8x-16 =2y-42\\9x^2-6xy+y^2 - y^2-4y-4 = 9x^2-6xy -8x \end{cases}\\\\ \begin{cases} x^2+x-x^2-8x -2y=-42+16+6\\9x^2-6xy+y^2 - y^2-4y -9x^2+6xy+8x=4 \end{cases}\\\\ \begin{cases} -7x -2y=-20\ \ | *(-2)\\ 8x-4y =4 \end{cases}[/tex]
[tex]\begin{cases}14x+4y=40\\ 8x-4y =4 \end{cases}\\+-----\\ 22x=44\ \ |:22\\x=\frac{44}{22}\\x=2\\\\(x+3)(x-2)-(x+4)^2=2y-42\\ (2+3)(2-2)-(2+4)^2=2y-42\\ 5*0-6^2=2y- 42\\ -36=2y-42\\ 2y=-36+42\\2y=6\ \ |:2\\y=3\\\\ \begin{cases}x=2\\y=3 \end{cases}[/tex]
