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6, [tex]\left\{\begin{matrix} \frac{5x}{x+1}+\frac{y}{y-3}=27 & \\ \frac{2x}{x+1}-\frac{3y}{y-3}=4 & \end{matrix}\right.[/tex]
8, [tex]\left\{\begin{matrix} 2x^{2}+2xy=3y-13 & \\ 3y^{2}+2xy=2x+11 & \end{matrix}\right.[/tex]
9, [tex]\left\{\begin{matrix} 4x^{2}+3y(x-1)=7 & \\ 3y^{2}+4x(y-1)=3 & \end{matrix}\right.[/tex]
10, [tex]\left\{\begin{matrix} (x^{2}-5)\sqrt{x^{2}-2y}+x^{2}+3=2y(\sqrt{x^{2}-2y}+1) & \\ x^{2}+3y=6 & \end{matrix}\right.[/tex]
11, [tex]\left\{\begin{matrix} 2x^{2}+4xy+2y^{2}+3x+3y-2=0 & \\ x^{2}+y^{2}+4xy+2y=0 & \end{matrix}\right.[/tex]
12, [tex]\left\{\begin{matrix} x^{2}-3y=2 & \\ 9y^{2}-8x=8 & \end{matrix}\right.[/tex]
13, [tex]\left\{\begin{matrix} 2x^{3}+3x^{2}y=5 & \\ y^{3}+6xy^{2}=7 & \end{matrix}\right.[/tex]
17, [tex]\left\{\begin{matrix} x^{2}+y^{2}-2y=0 & \\ 3x-y-2=0 & \end{matrix}\right.[/tex]
18, [tex]\left\{\begin{matrix} 3\sqrt{x}-2\sqrt{y}=-1 & \\ 2\sqrt{x}+\sqrt{y}=4 & \end{matrix}\right.[/tex]
19, [tex]\left\{\begin{matrix} \sqrt{\frac{2x-1}{y+2}}+\sqrt{\frac{y+2}{2x-1}}=2 & \\ x+y=12 & \end{matrix}\right.[/tex]
20, [tex]\left\{\begin{matrix} \frac{1}{2}(x+2)(y+3)=\frac{1}{2}xy+50 & \\ \frac{1}{2}(x-2)(y-2)=\frac{1}{2}xy-32 & \end{matrix}\right.[/tex]
21, [tex]\left\{\begin{matrix} |x-2|+2|y-1|=9 & \\ x+|y-1|=-1 & \end{matrix}\right.[/tex]
22, [tex]\left\{\begin{matrix} x^{2}+y^{2}-3x+4y=1 & \\ 3x^{2}-2y^{2}-9x-8y=3 & \end{matrix}\right.[/tex]
23, [tex]\left\{\begin{matrix} \frac{1}{x+1}+y=1 & \\ \frac{2}{x+1}+5y=3 & \end{matrix}\right.[/tex]
24, [tex]\left\{\begin{matrix} x^{2}+2(y^{2}+2y)=10 & \\ 3x^{2}-(y^{2}+2y)=9 & \end{matrix}\right.[/tex]
8, [tex]\left\{\begin{matrix} 2x^{2}+2xy=3y-13 & \\ 3y^{2}+2xy=2x+11 & \end{matrix}\right.[/tex]
9, [tex]\left\{\begin{matrix} 4x^{2}+3y(x-1)=7 & \\ 3y^{2}+4x(y-1)=3 & \end{matrix}\right.[/tex]
10, [tex]\left\{\begin{matrix} (x^{2}-5)\sqrt{x^{2}-2y}+x^{2}+3=2y(\sqrt{x^{2}-2y}+1) & \\ x^{2}+3y=6 & \end{matrix}\right.[/tex]
11, [tex]\left\{\begin{matrix} 2x^{2}+4xy+2y^{2}+3x+3y-2=0 & \\ x^{2}+y^{2}+4xy+2y=0 & \end{matrix}\right.[/tex]
12, [tex]\left\{\begin{matrix} x^{2}-3y=2 & \\ 9y^{2}-8x=8 & \end{matrix}\right.[/tex]
13, [tex]\left\{\begin{matrix} 2x^{3}+3x^{2}y=5 & \\ y^{3}+6xy^{2}=7 & \end{matrix}\right.[/tex]
17, [tex]\left\{\begin{matrix} x^{2}+y^{2}-2y=0 & \\ 3x-y-2=0 & \end{matrix}\right.[/tex]
18, [tex]\left\{\begin{matrix} 3\sqrt{x}-2\sqrt{y}=-1 & \\ 2\sqrt{x}+\sqrt{y}=4 & \end{matrix}\right.[/tex]
19, [tex]\left\{\begin{matrix} \sqrt{\frac{2x-1}{y+2}}+\sqrt{\frac{y+2}{2x-1}}=2 & \\ x+y=12 & \end{matrix}\right.[/tex]
20, [tex]\left\{\begin{matrix} \frac{1}{2}(x+2)(y+3)=\frac{1}{2}xy+50 & \\ \frac{1}{2}(x-2)(y-2)=\frac{1}{2}xy-32 & \end{matrix}\right.[/tex]
21, [tex]\left\{\begin{matrix} |x-2|+2|y-1|=9 & \\ x+|y-1|=-1 & \end{matrix}\right.[/tex]
22, [tex]\left\{\begin{matrix} x^{2}+y^{2}-3x+4y=1 & \\ 3x^{2}-2y^{2}-9x-8y=3 & \end{matrix}\right.[/tex]
23, [tex]\left\{\begin{matrix} \frac{1}{x+1}+y=1 & \\ \frac{2}{x+1}+5y=3 & \end{matrix}\right.[/tex]
24, [tex]\left\{\begin{matrix} x^{2}+2(y^{2}+2y)=10 & \\ 3x^{2}-(y^{2}+2y)=9 & \end{matrix}\right.[/tex]