1) $\left\{\begin{matrix}x\sqrt{y}+y\sqrt{x}=30 & \\ x\sqrt{x}+y\sqrt{y}=35 & \end{matrix}\right.$
2)$\left\{\begin{matrix}x^{2}+y^{2}+xy=13 & \\ y-x+xy=5 & \end{matrix}\right.$
3)$\left\{\begin{matrix}x(x+2)(2x+y)=9 & \\ x^{2}+4x+y=6 & \end{matrix}\right.$
4)$\left\{\begin{matrix}x(3x+2y)(x+1)=12 & \\ x^{2}+2y+4x-8=0 & \end{matrix}\right.$
5)$\left\{\begin{matrix}x+y+x^{2}+y^{2}=8 & \\ xy(x+1)(y+1)=12 & \end{matrix}\right.$
6)$\left\{\begin{matrix}\sqrt{x+1}+\sqrt{y+2}=3 & \\ x+y=2 & \end{matrix}\right.$
7)$\left\{\begin{matrix}\sqrt{x+1}+\sqrt{y+1}=3 & \\ x\sqrt{y+1}+y\sqrt{x+1}+\sqrt{y+1}+\sqrt{x+1}=6 & \end{matrix}\right.$
8)$\left\{\begin{matrix}x^{2}y+2xy^{2}=15 & \\ x^{3}+8y^{3}=35 & \end{matrix}\right.$
9)$\left\{\begin{matrix}\sqrt{\frac{x}{y}}+\sqrt{\frac{y}{x}}=\frac{7}{\sqrt{xy}}+1 & \\ x\sqrt{xy}+y\sqrt{xy}=78 & \end{matrix}\right.$
10)$\left\{\begin{matrix}\sqrt{x+\frac{1}{y}}+\sqrt{x+y-3}=3 & \\ 2x+y+\frac{1}{y}=8 & \end{matrix}\right.$
11)$\left\{\begin{matrix}\sqrt{4x+y}+\sqrt{2x+y}=2 & \\ \sqrt{2x+y}+x+y=1 & \end{matrix}\right.$
12)$\left\{\begin{matrix}\frac{x^{2}}{y}+\frac{y^{2}}{x}=12 & \\ \frac{1}{x}+\frac{1}{y}=3 & \end{matrix}\right.$
13)$\left\{\begin{matrix}x+y-\sqrt{xy}=3 & \\ \sqrt{x+1}+\sqrt{y+1}=4 & \end{matrix}\right.$
14)$\left\{\begin{matrix}x^{2}+y^{2}-2x-4y=52 & \\ xy-3x-2y+6=0 & \end{matrix}\right.$
15)$\left\{\begin{matrix}x^{3}=3x+8y & \\ y^{3}=3y+8x & \end{matrix}\right.$
16)$\left\{\begin{matrix}x-3y=\frac{4y}{x} & \\ y-3x=\frac{4x}{y} & \end{matrix}\right.$
17)$\left\{\begin{matrix}2x+y=\frac{3}{x^2} & \\ 2y+x=\frac{3}{y^{2}} & \end{matrix}\right.$
18)$\left\{\begin{matrix}\sqrt{x+9}+\sqrt{y-7}=4 & \\ \sqrt{y+9}+\sqrt{x-7}=4 & \end{matrix}\right.$
19)$\left\{\begin{matrix}x=\frac{2y}{1-y^2} & \\ y=\frac{2x}{1-x^2} & \end{matrix}\right.$
20)$\left\{\begin{matrix}x\sqrt{1-y^2}=\frac{1}{4} & \\ y\sqrt{1-x^2}=\frac{1}{4} & \end{matrix}\right.$
21)$\left\{\begin{matrix}3y=\frac{y^2+2}{x^2} & \\ 3x=\frac{x^2+2}{y^2} & \end{matrix}\right.$
22)$\left\{\begin{matrix}x^4+2x^3y+x^2y^2=2x+9 & \\ x^2+2xy=6x+6 & \end{matrix}\right.$
23)$\left\{\begin{matrix}x^2+2x+y^2+y=3-xy & \\ xy+x+2y=1 & \end{matrix}\right.$
24)$\left\{\begin{matrix}\sqrt{x+y+2}=x+y & \\ \sqrt[3]{x-y}=x-y & \end{matrix}\right.$
25)$\left\{\begin{matrix}x-\frac{1}{x}=y-\frac{1}{y} & \\ 2y=x^3+1 & \end{matrix}\right.$
26)$\left\{\begin{matrix}\sqrt{x+y}=\sqrt[3]{x+y} & \\ \sqrt{x-y}=\sqrt[3]{x-y-12} & \end{matrix}\right.$
Bài viết đã được chỉnh sửa nội dung bởi mithoangha: 24-03-2016 - 21:03
