ta có: \(\left\{{}\begin{matrix}x+y=3\\x+y=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}0=2\left(vô\right)lý\\x+y=1\end{matrix}\right.\)
vậy hệ phương trình vô nghiệm
\(\left\{{}\begin{matrix}x+y=3\\x+y=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}0x+0y=2\\x+y=1\end{matrix}\right.\)
=> Hệ pt này vô nghiệm
Giải hệ phương trình:
1. \(\left\{{}\begin{matrix}3\sqrt{x}-\sqrt{y}=5\\2\sqrt{x}+3\sqrt{y}=18\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}\sqrt{x+3}-2\sqrt{y+1}=2\\2\sqrt{x+3}+\sqrt{y+1}=4\end{matrix}\right.\)
3. \(\left\{{}\begin{matrix}3\sqrt{x}+2\sqrt{y}=6\\\sqrt{x}-\sqrt{y}=4,5\end{matrix}\right.\)
4. \(\left\{{}\begin{matrix}\sqrt{x}+\sqrt{y+1}=1\\\sqrt{y}+\sqrt{x+1}=1\end{matrix}\right.\)
Giải các hệ phương trình sau
a,\(\left\{{}\begin{matrix}\sqrt{3}x-y=\sqrt{2}\\x-\sqrt{2}y=\sqrt{3}\end{matrix}\right.\)
b, \(\left\{{}\begin{matrix}5\left(x-y\right)-3\left(2x+3y\right)=12\\3\left(x+2y\right)-4\left(x+2y\right)=5\end{matrix}\right.\)
c, \(\left\{{}\begin{matrix}\dfrac{x+2}{y-1}=\dfrac{x-4}{y+2}\\\dfrac{2x+3}{y-1}=\dfrac{4x+1}{2y+1}\end{matrix}\right.\)
Giải hệ phương trình:
1. \(\left\{{}\begin{matrix}\sqrt{x}+2\sqrt{-1}=5\\4\sqrt{x}-\sqrt{y-1}=2\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}\sqrt{3x-1}-\sqrt{2y+1}=1\\2\sqrt{3x-1}+3\sqrt{2y+1}=12\end{matrix}\right.\)
3. \(\left\{{}\begin{matrix}\sqrt{x-2}+\sqrt{y-3}=3\\2\sqrt{x-2}-3\sqrt{y-3}=-4\end{matrix}\right.\)
4. \(\left\{{}\begin{matrix}2\sqrt{x+1}-3\sqrt{-2}=5\\4\sqrt{x+1}+\sqrt{y-2}=17\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}\left(\sqrt{2}-1\right)x+\left(\sqrt{2}+1\right)y=3\sqrt{2}-1\\\left(\sqrt{2}+1\right)x+\left(\sqrt{2}-1\right)y=3\sqrt{2}+1\end{matrix}\right.\)
giải các hệ phương trình sau:
1, \(\left\{{}\begin{matrix}\left(x+2\right)\left(y-2\right)=xy\\\left(x+4\right)\left(y-3\right)=xy\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}\frac{1}{x-3}+\frac{1}{y}=2\\\frac{2}{x-3}-\frac{3}{y}=1\end{matrix}\right.\)
Giải hệ pt:
\(\left\{{}\begin{matrix}x^3-y^3=224\\x-y=8\end{matrix}\right.\)
\(\left\{{}\begin{matrix}y+|x|=-1\\y|x|=-12\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x^5+y^5=31\\x+y=1\end{matrix}\right.\)
giải hệ phương trình:
a,\(\left\{{}\begin{matrix}\dfrac{1}{2}\left(x+2\right)\left(y+3\right)=\dfrac{1}{2}xy+50\\\dfrac{1}{2}\left(x-2\right)\left(y-2\right)=\dfrac{1}{2}xy-32\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}\dfrac{-1}{2}x+\dfrac{1}{3}y=0\\y-x=1\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}x\left(y-2\right)=\left(x+2\right)\left(y-4\right)\\\left(x-3\right)\left(2y+7\right)=\left(2x-7\right)\left(y+3\right)\end{matrix}\right.\)
Giải hệ phương trình:
a,\(\left\{{}\begin{matrix}\text{2 x − 7 y = 20 }\\\text{3 x + 7 y = − 5}\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}\text{2 x + 3 y = 8 }\\\text{− 3 x + 5 y = 7 }\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}-2x+\frac{1}{2}y=3\\\text{5 x + 3 y = 11 }\end{matrix}\right.\)
d,\(\left\{{}\begin{matrix}\text{( x − 16 )( y + 6 ) = x y − 36 }\\\text{( x + 8 )( y − 3 ) = x y − 54 }\end{matrix}\right.\)
e,\(\left\{{}\begin{matrix}\text{3 x − | y | = 1 }\\\text{5 x + 3 y = 11 }\end{matrix}\right.\)
f,\(\left\{{}\begin{matrix}\frac{3}{x}+\frac{4}{y}=5\\\frac{1}{x}-\frac{1}{y}=1\end{matrix}\right.\)
g,\(\left\{{}\begin{matrix}x+2\sqrt{y-1}=3\\3x+4\sqrt{y-1}=7\end{matrix}\right.\)
Giúp mình với ạ!!!
Giải và biện luận các hệ phương trình sau:
a) \(\left\{{}\begin{matrix}mx+y=3m-1\\x+my=m+1\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}x+my=3m\\mx-y=m^2-2\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}x-my=1+m^2\\mx+y=1+m^2\end{matrix}\right.\) d) \(\left\{{}\begin{matrix}2x-y=3+2m\\mx+y=\left(m+1\right)^2\end{matrix}\right.\)
