HPT
\(\Leftrightarrow\left\{{}\begin{matrix}2x^2=\left(x+1\right)^2+\left(y-1\right)+3y+3\\\left(x+1\right)^2+\left(y-1\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(x+1\right)^2+\left(\frac{2x^2-3}{3}-1\right)=0\\y=\frac{2x^2-3}{3}\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}5x^2+6x-3=0\left(1\right)\\y=\frac{2x^2-3}{3}\left(2\right)\end{matrix}\right.\)
Toi day use delta o (1) la xong
Giải hệ phương trình :
a, \(\left\{{}\begin{matrix}\left(x+y-2\right)\left(2x-y\right)=0\\x^2+y^2=2\end{matrix}\right.\)
b, \(\left\{{}\begin{matrix}x^2+y^2+2x+2y=6\\x+y-3xy+1=0\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}x^2+4x=5y\\y^2+4y=5x\end{matrix}\right.\)
d,\(\left\{{}\begin{matrix}x^2+2y^2+xy=4\\2x^2+xy+3y^2=6\end{matrix}\right.\)
e,\(\left\{{}\begin{matrix}4x^2+8x=5y\\y^2+4y=10x\end{matrix}\right.\)
giải hệ pt:
9) \(\left\{{}\begin{matrix}\dfrac{7}{2x+y}+\dfrac{4}{2x-y}=74\\\dfrac{3}{2x+y}+\dfrac{2}{2x-y}=32\end{matrix}\right.\)
10) \(\left\{{}\begin{matrix}x=2y-1\\2x-y=5\end{matrix}\right.\)
11) \(\left\{{}\begin{matrix}3x-6=0\\2y-x=4\end{matrix}\right.\)
12) \(\left\{{}\begin{matrix}2x+y=5\\x+7y=9\end{matrix}\right.\)
13) \(\left\{{}\begin{matrix}\dfrac{3}{x}-\dfrac{4}{y}=2\\\dfrac{4}{x}-\dfrac{5}{y}=3\end{matrix}\right.\)
14) \(\left\{{}\begin{matrix}\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{12}\\\dfrac{8}{x}+\dfrac{15}{y}=1\end{matrix}\right.\)
15) \(\left\{{}\begin{matrix}2\sqrt{x-1}-\sqrt{y-1}=1\\\sqrt{x-1}+\sqrt{y-1}=2\end{matrix}\right.\)
giúp mk vs ạ mai mk học rồi
giải hệ pt bằng phương pháp thế:
1) \(\left\{{}\begin{matrix}x+y=3\\x+2y=5\end{matrix}\right.\)
2) \(\left\{{}\begin{matrix}x-y=3\\y=2x+1\end{matrix}\right.\)
3) \(\left\{{}\begin{matrix}2x+3y=4\\y-x=-2\end{matrix}\right.\)
4) \(\left\{{}\begin{matrix}x=y+2\\x=3y+8\end{matrix}\right.\)
5) \(\left\{{}\begin{matrix}2x-y=1\\3x-4y=2\end{matrix}\right.\)
giúp mk vs ạ mai mk hc rồi
Giải hệ phương trình sau: \(\left\{{}\begin{matrix}\sqrt{3+2x^2y-x^4y^2}+x^2\left(1-2x^2\right)=y^4\\1+\sqrt{1+\left(x-y\right)^2}+x^2\left(x^4-2x^2-2xy^2+1\right)=0\end{matrix}\right.\)
1.Cho hệ pt \(\left\{{}\begin{matrix}\left(m-1\right)x+y=m\\x+\left(m-1\right)y=2\end{matrix}\right.\) gọi nghiệm của hệ pt là(x;y)
a)Tìm đẳng thức liên hệ giữa x và y không phụ thuộc vào m.
b)Tìm giá trị của x t/m \(2x^2-7y=1\)
c)Tìm các giá trị của m để bt \(\dfrac{2x-3y}{x+y}\)nhận giá trị nguyên
2.Giải hệ pt:\(\left\{{}\begin{matrix}x^2+2y^2-3xy-2x+4y=0\\\left(x^2-5\right)^2=2x-2y+5\end{matrix}\right.\)
3.Giải hệ pt:\(\left\{{}\begin{matrix}x^2+4xy-3x-4y=2\\y^2-2xy-x=-5\end{matrix}\right.\)
Giải phương trình:
1. \(\left\{{}\begin{matrix}5x-2y=-9\\4x+3y=2\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}2x+y-4=0\\x+2y-5=0\end{matrix}\right.\)
3. \(\left\{{}\begin{matrix}2x+3y-7=0\\x+2y-4=0\end{matrix}\right.\)
4. \(\left\{{}\begin{matrix}5x+6y=17\\9x-y=7\end{matrix}\right.\)
Giải hệ phương trình sau:
\(\left\{{}\begin{matrix}3x-2\left|y\right|=9\\2x+3\left|y\right|=1\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left|x-2\right|+2\left|y-1\right|=9\\x+\left|y-1\right|=-1\end{matrix}\right.\)
Giải các hệ phương trình
a) \(\left\{{}\begin{matrix}x+y+xy=3\\x^2y+xy^2=2\end{matrix}\right.\) b) \(\left\{{}\begin{matrix}x^2+y^2=2\left(xy+2\right)\\x+y=6\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}x^2-2x=y\\y^2-2y=x\end{matrix}\right.\) d) \(\left\{{}\begin{matrix}2x^2-xy+3y^2=13\\x^2+4xy-2t^2=-6\end{matrix}\right.\)
e) \(\left\{{}\begin{matrix}2x^2-y^2=1\\xy+x^2=2\end{matrix}\right.\)
a)\(\left\{{}\begin{matrix}2x+\left|y\right|=3\\x-y=6\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\sqrt{3}x+y=\sqrt{2}\\\sqrt{3}x-\sqrt{2}y=-1\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}2\sqrt{x+3}+\sqrt{y^2-4y+4}=2\\\sqrt{x+3}-3\left|2-y\right|=1\end{matrix}\right.\)
