giải hệ: a, \(\left\{{}\begin{matrix}x^2+\frac{1}{y^2}+\frac{x}{y}=3\\x+\frac{1}{y}+\frac{x}{y}=3\end{matrix}\right.\)
b, \(\left\{{}\begin{matrix}\sqrt[]{x-1}+\sqrt[]{y-1}=2\\\frac{1}{x}+\frac{1}{y}=1\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}x\sqrt[]{x}+y\sqrt[]{y}=35\\x\sqrt[]{y}+y\sqrt[]{x}=30\end{matrix}\right.\)
d,\(\left\{{}\begin{matrix}x^2+xy+y^2=3\\x+xy+y=-1\end{matrix}\right.\)
e,\(\left\{{}\begin{matrix}\left(\frac{x}{y}\right)^3+\left(\frac{x}{y}\right)^2=12\\\left(xy\right)^2+xy=6\end{matrix}\right.\)
Giải hệ phương trình sau: \(\left\{{}\begin{matrix}2\left(xy+1\right)=x\left(x+y\right)+2\\3xy-x+3=\sqrt{x+2y+1}+\sqrt{x+4y+4}\end{matrix}\right.\)
giải hệ pt \(\left\{{}\begin{matrix}x-y=1\left(1\right)\\\sqrt{x^2+2y+3}=3x-5\left(2\right)\end{matrix}\right.\left(x,y\in R\right)}\)
giải hệ pt: \(\left\{{}\begin{matrix}x+y-\sqrt{xy}=3\\\sqrt{x+1}+\sqrt{y+1}=4\end{matrix}\right.\)
giúp mk ạ
giải hệ phương trình:\(\left\{{}\begin{matrix}\frac{3}{\sqrt{x-4}}+\frac{4}{y+2}=7\\\frac{5}{\sqrt{x-4}}-\frac{1}{y-2}=4\end{matrix}\right.\)
giải hpt:
a)\(\left\{{}\begin{matrix}\dfrac{10}{\sqrt{12x-3}}+\dfrac{5}{\sqrt{4y+1}}=1\\\dfrac{7}{\sqrt{12x-3}}+\dfrac{8}{\sqrt{4y+1}}=1\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{1}{x}+\dfrac{1}{y}=4\\x\left(1+4y\right)+y=2\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}x^2+x+1=3y\\y^2+y+1=3x\end{matrix}\right.\)
Giải hệ phương trình:
a)\(\left\{{}\begin{matrix}\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=2\\\dfrac{2}{xy}-\dfrac{1}{z^2}=4\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}y=2\sqrt{x-1}\\\sqrt{x+y}=x^2-y\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}xy-\dfrac{x}{y}=9.6\\xy-\dfrac{y}{x}=7.5\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=2\\\dfrac{2}{xy}-\dfrac{1}{z^2}=4\end{matrix}\right.\)
Giải hệ \(\left\{{}\begin{matrix}9+\left(y-5\right)^2=x+y\\\sqrt{y}-4+x=\frac{\sqrt{x+y}+\sqrt{x+y-9}+2}{\sqrt{y}-x+4}\end{matrix}\right.\)
giải hệ phương trình \(\left\{{}\begin{matrix}\dfrac{1}{x^2}+\dfrac{1}{y^2}=1\\\sqrt{x^2-1}+\sqrt{y^2-1}=\sqrt{xy}+2\end{matrix}\right.\)