hệ phương trình
1, \(\left\{{}\begin{matrix}3x=6\\x-3y=2\end{matrix}\right.\)
2,\(\left\{{}\begin{matrix}3x+5y=15\\2y=-7\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}7x-2y=1\\3x+y=6\end{matrix}\right.\)
4, \(\left\{{}\begin{matrix}3\left(x+y\right)+9=2\left(x-y\right)\\2\left(x+y\right)=3\left(x-y\right)+11\end{matrix}\right.\)
5 , \(\left\{{}\begin{matrix}3\left(x+y\right)+5\left(x-y\right)=12\\-5\left(x+y\right)+2\left(x-y\right)=11\end{matrix}\right.\)
6 , \(\left\{{}\begin{matrix}2\left(3x-2\right)-4=5\left(3y+2\right)\\4\left(3x-2\right)+7\left(3y+2\right)=-2\end{matrix}\right.\)
7, \(\left\{{}\begin{matrix}\frac{1}{x}+\frac{1}{y}=\frac{4}{5}\\\frac{1}{x}-\frac{1}{y}=\frac{1}{5}\end{matrix}\right.\)
8 , \(\left\{{}\begin{matrix}\frac{15}{x}-\frac{7}{y}=9\\\frac{4}{x}+\frac{9}{y}=35\end{matrix}\right.\)
Giải các hệ
\(\left\{{}\begin{matrix}\sqrt{x+y}+\sqrt{2x+y+2}=7\\3x+2y=23\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x^2+y+x^3y+xy^2+xy=\frac{-5}{4}\\x^4+y^2+xy\left(1+2x\right)=\frac{-5}{4}\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x^2+1\right)+y\left(x+y\right)=7y\\\left(x^2+1\right)\left(x+y-2\right)=-y\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x\left(x+y+1\right)=3\\\left(x+y\right)^2-\frac{5}{x^2}=-1\end{matrix}\right.\)
giải hpt \(\left\{{}\begin{matrix}\left(x-1\right)^2+\left(y-3\right)^2=1\\\left(x-1\right)\left(y-3\right)+3=x+y\end{matrix}\right.\)
Giải hệ phương trình:
a) \(\left\{{}\begin{matrix}y\left(x+y+1\right)=3\\\left(x+y\right)^2-\dfrac{4}{y^2}=0\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x-\dfrac{1}{x}=y-\dfrac{1}{y}\\2y=x^3+1\end{matrix}\right.\)
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Giải các hệ phương trình
\(\left\{{}\begin{matrix}\frac{1}{x+1}+\frac{1}{y}=\frac{1}{3}\\\frac{1}{\left(x+1\right)^2}-\frac{1}{y^2}=\frac{1}{4}\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x+m\right)^2-y^2+y\left(x+m\right)=11\\x+2y=7-m\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x+a\right)^2+2\left(y-a\right)^2-\left(x+a\right)\left(y-a\right)=2\\x+y=2\end{matrix}\right.\)
1.Giải hpt bằng pp đặt ẩn phụ ; 1\(\left\{{}\begin{matrix}x^2+y+x^3y+xy^2+xy=\dfrac{-5}{4}\\x^4+y^2+xy\left(1+2x\right)=\dfrac{-5}{4}\end{matrix}\right.\)
2.\(\left\{{}\begin{matrix}x^3+3x^2-13x-15=\dfrac{8}{y^3}-\dfrac{8}{y}\\y^2+4=5y^2\left(x^2+2x+2\right)\end{matrix}\right.\)
giải hpt
\(\left\{{}\begin{matrix}x^2+y^2+xy+1=4y\\\left(x^2+1\right)\left(x+y-2\right)=y\end{matrix}\right.\)
Giải hệ phương trình:\(\left\{{}\begin{matrix}x^3+xy^2+\left(x^2+y^2-4\right)\left(y+2\right)=0\\x^2+2y^2+xy+2x-4=0\end{matrix}\right.\)
Giải hệ phương trình\(\left\{{}\begin{matrix}\left(x+1\right)\left(x^2+1\right)=y^3+1\\\left(y+1\right)\left(y^2+1\right)=z^3+1\\\left(z+1\right)\left(z^2+1\right)=x^3+1\end{matrix}\right.\)