Giải phương trình:
a) \(\left\{{}\begin{matrix}x+y+\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{9}{2}\\xy+\dfrac{1}{xy}=\dfrac{5}{2}\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}4x^2+1=y^2-4x\\x^2+xy+y^2=1\end{matrix}\right.\)
a) \(\left\{{}\begin{matrix}2x+5y=3\\3x-2y=-8\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x+3y=5\\2x-5y=-1\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}3x-4y=18\\2x+y=1\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}x-2y+z=12\\2x-y+3z=18\\-3x+3y+3z=-9\end{matrix}\right.\)
e) \(\left\{{}\begin{matrix}x-2y+4z=13\\y-3z=-7\\7z=14\end{matrix}\right.\)
f) \(\left\{{}\begin{matrix}2x+y+3z=2\\-x+4y-6z=5\\5x-y+3z=-5\end{matrix}\right.\)
Giải HPT \(\left\{{}\begin{matrix}2x^3+y\left(x+1\right)=4x^2\\5x^4-4x^6=y^2\end{matrix}\right.\)
giải hpt\(\left\{{}\begin{matrix}\left(m+1\right)x+my=2m-1\\mx-y=m^2-2\end{matrix}\right.\)
Giải các hệ phương trình:
a) \(\left\{{}\begin{matrix}x^2+y^2=12\\xy=-4\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x+y=1\\x^2+xy+y^2=7\end{matrix}\right.\)
Giải các hệ phương trình sau:
a, \(\left\{{}\begin{matrix}5x+3y=8xy\\3x+2y=5xy\end{matrix}\right.\)
b, \(\left\{{}\begin{matrix}-x+y=xy\\4x+3y=5xy\end{matrix}\right.\)
c, \(\left\{{}\begin{matrix}2x-y=5\\\left(x+y+2\right)\left(x+2y-5\right)=0\end{matrix}\right.\)
Cho 3 số x, y, z TM: \(\left\{{}\begin{matrix}x+y+z=2017\\\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=\dfrac{1}{2017}\end{matrix}\right.\)
Tính GTBT: \(P=\left(x^{2017}+y^{2017}\right)\left(y^{2019}+z^{2019}\right)\left(z^{2021}+x^{2021}\right)\)
Giải hệ phương trình sau:
a)\(\left\{{}\begin{matrix}3x-y=5\\2x+3y=18\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}2x-5y=11\\3x+4y=5\end{matrix}\right.\) c)\(\left\{{}\begin{matrix}\frac{14}{x-y+2}-\frac{10}{x+y-1}=9\\\frac{3}{x-y+2}+\frac{2}{x+y-1}=4\end{matrix}\right.\)
Giúp em với ạ, em cần gấp lắm
\(\left\{{}\begin{matrix}x+my=m+1\\mx+y-3m-1\end{matrix}\right.\)
a) Giải HPT khi m = 1
b) tìm m để HPT có nghiệm duy nhất \(x=\left|y\right|\)
