Hệ phương trình

$\left\{ \begin{array}{l} x^{3}-y^{3}+(3x^{2}+y-2)\sqrt{y+1}-(3y^{2}+x-2)\sqrt{x+1}=0\\ x^{2}+y^{2}+xy-7x-6y+14=0 \end{array} \right.$

Gỉai hệ pt:$\begin{cases}x^{2}y^{3}+3x^{2}-4x+2=0 \\ x^{2}y^{2}-2x+y^{2}=0 \end{cases}$

$\begin{cases}x^{6}+x^{2}y^{4}+x^{2}+2x^{4}=x^{4}y+y^{5}-2y^{4}+y-2 \\ \sqrt{2x+5}-\sqrt[3]{\sqrt{y-2}+25} =\sqrt[4]{x^{2}-y+2}\end{cases}$

$\begin{cases}\sqrt{x^{2}+2y+3}+2y-3=0 \\ 2\left ( 2y^{3}+x^{3} \right )+3y\left (  x+1\right )^2+6x(x+1)+2=0 \end{cases}$

Giải hệ pt:
$$\begin{cases}x^3+2x^2y=(2x+1)\sqrt{2x+y} \\ 2x^3+2y\sqrt{2x+y}=2y^2+xy+3x+1 \end{cases}$$

$$\begin{cases}4x^3+3xy^2=7y \\ y^3+6x^2y=7 \end{cases}$$

$$\begin{cases}(2x+3y+1)\sqrt{x-y+1}=1+\sqrt{2x^{2}+11xy+12y^{2}} \\ \sqrt{x+4y-1} +\sqrt{2x^{2}+x+6}=x+y+3 \end{cases}$$

$$\begin{cases}\sqrt{x^{2}-x-y-1}\sqrt[3]{x-y-1}=y+1 \\ x+y+1+\sqrt{2x+y}=\sqrt{5x^{2}+3y^{2}+3x+7y} \end{cases}$$

Với $\left\{ \begin{array}{l} (a+b)(b+c)(c+a)=abc\\ (a^3+b^3)(b^3+c^3)(c^3+a^3)=a^3b^3c^3 \end{array} \right.$

Giải HPT:
$\left\{ \begin{array}{l} \sqrt[3]{xy(x-2y)+9x^2-31x+27}+\sqrt{-x^2+5y^2+2x+2y+9}=5\\ 8x^2-32=4y(\sqrt{9x^2-32}+x) \end{array} \right.$

1, $\begin{cases}x^{2}+y+x^{3}y+xy^{2}+xy=\frac{-5}{4} \\ x^{4} + y^{2}+xy+2x^{2}y=\frac{-5}{4} \end{cases}$

$$\begin{cases}x+3y^{2}-2y=o \\ 36\left ( x\sqrt{x}+3y^{3} \right )-27\left ( 4y^{2}-y \right )+\left ( 2\sqrt{3}-9 \right )\sqrt{x}-1= 0\end{cases}$$

$\begin{cases}x^{3}+y^{4}=1 \\ 5x^{3}+3x^{2}-4x-4+4y^{3}(x+y)-xy(x^{2}-3xy)=0 \end{cases}$

$\begin{cases}2y^3+y+2x\sqrt{1-x}=3\sqrt{1-x} \\ \sqrt{2x^2+1}+y=4+\sqrt{x+4} \end{cases}$

$\begin{cases}(3x^2 - 5x +2)(3y^2+7y+2)= 24xy\\ x^2+y^2+xy-7x-6y+14=0 \end{cases}$

$\begin{cases}x(4y^3+3y+\sqrt{5y^2-x^2})=y^2(x^2+4y^2+8) \\ x+\sqrt{12-2x}=2y^2-2\sqrt{y}-4 \end{cases}$

Hệ hay $\begin{cases} x^2 -y^2 +x + \sqrt{(1-x)y}=2\sqrt{x+y} \\ (x-y)^2 +x + y = 2 \end{cases}$

$$\begin{cases}(\sqrt{x}-y)^2+\sqrt{(x+y)^3}= 2\\ (\sqrt{(x-y)^3}+(\sqrt{y}-x)^2= 2\end{cases}$$

1)$\begin{cases}(x+5y-4)\sqrt{x-y^2}=2xy-2y \\ y\sqrt{x-1}+3\sqrt{x-y^2}=2x+y \end{cases}$
2)$\begin{cases}\sqrt{x+2}+2\sqrt{x+7}=(y^3+1)\sqrt{y-1}+8 \\ (x-1)^3+3y^3+\sqrt{y}+5=x+8y \end{cases}$

1. $$\begin{cases}x^4-y^4=\frac{3}{4y}-\frac{1}{2x} \\ (x^2-y^2)^5+5=0 \end{cases}$$

$\;$

Từ (1) ta có $12y -x^2y = 144 +12x^2 -x^2 y -24x\sqrt{12-y}$

$\begin{cases}30\frac{y}{x^2}+4y=2007\\30\frac{z}{y^2}+4z=2007 \\ 30\frac{x}{z^2}+4x=2007 \end{cases}$

$\begin{cases}x^3+3xy^2=-49 \\ x^2-8xy+y^2=8y-17x \end{cases}$

$\begin{cases}x^2(y+z)^2=(3x^2+x+1)y^2z^2\\y^2(z+x)^2=(4y^2+y+1)z^2x^2 \\ z^2(x+y)^2=(5z^2+z+1)x^2y^2 \end{cases}$

$$\begin{cases}(x+1)^{3} + (y+1)^{3}= 28 \\ (x+y) +xy=  2\end{cases}$$

Giải các hệ phương trình sau:
a/ $\begin{cases}\frac{x+3}{y-4}-\frac{x-1}{y+4}+\frac{16}{y^{2}-16}=0 \\ 11x-3y=1\end{cases}$
b/ $\begin{cases}2y^{2}+xy-x^{2}=0 \\ x^{2}-xy-y^{2}+3x+7y+3=0 \end{cases}$
c/$\begin{cases}xy+3y^{2}-x+4y-7=0 \\ 2xy+y^{2}-2x-2y+1=0 \end{cases}$
d/$\begin{cases}xy-3x-2y=16 \\ x^{2}+y^{2}-2x-4y=33 \end{cases}$
e/ $\begin{cases}x-\frac{1}{x}=y-\frac{1}{y} \\ 2y=x^{3}+1 \end{cases}$