Chương III - Hệ hai phương trình bậc nhất hai ẩn
Các câu hỏi tương tự
giải các hệ phương trình sau:a) left{{}begin{matrix}dfrac{1}{x}+dfrac{1}{y+z}dfrac{1}{2}dfrac{1}{y}+dfrac{1}{z+x}dfrac{1}{3}dfrac{1}{z}+dfrac{1}{x+y}dfrac{1}{4}end{matrix}right.b) left{{}begin{matrix}dfrac{x}{y}-dfrac{y}{x}dfrac{5}{6}x^2-y^25end{matrix}right.c) left{{}begin{matrix}dfrac{5}{sqrt{x-7}}+dfrac{3}{sqrt{y+6}}dfrac{13}{6}dfrac{7}{sqrt{x-7}}-dfrac{2}{sqrt{y+6}}dfrac{5}{3}end{matrix}right.
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giải các hệ phương trình sau:
a) \(\left\{{}\begin{matrix}\dfrac{1}{x}+\dfrac{1}{y+z}=\dfrac{1}{2}\\\dfrac{1}{y}+\dfrac{1}{z+x}=\dfrac{1}{3}\\\dfrac{1}{z}+\dfrac{1}{x+y}=\dfrac{1}{4}\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}\dfrac{x}{y}-\dfrac{y}{x}=\dfrac{5}{6}\\x^2-y^2=5\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}\dfrac{5}{\sqrt{x-7}}+\dfrac{3}{\sqrt{y+6}}=\dfrac{13}{6}\\\dfrac{7}{\sqrt{x-7}}-\dfrac{2}{\sqrt{y+6}}=\dfrac{5}{3}\end{matrix}\right.\)
Giải hệ phương trình:
\(\left\{{}\begin{matrix}x^2\left(y-z\right)=-\dfrac{5}{3}\left(1\right)\\y^2\left(z-x\right)=3\left(2\right)\\z^2\left(x-y\right)=\dfrac{1}{3}\left(3\right)\end{matrix}\right.\)
giả các hệ phương trình sau :a) left{{}begin{matrix}dfrac{-3}{x-y+1}+dfrac{1}{x
+y-2}12dfrac{2}{x-y+1}-dfrac{3}{x+y-2}-1end{matrix}right.b) left{{}begin{matrix}x^2+2left(y^2+2yright)103x^2-left(y^2+2yright)9end{matrix}right.c) left{{}begin{matrix}dfrac{7}{sqrt{x-1}}-dfrac{5}{sqrt{y+2}}dfrac{9}{2}dfrac{3}{sqrt{x-1}}+dfrac{2}{sqrt{y+2}}4end{matrix}right.
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giả các hệ phương trình sau :
a) \(\left\{{}\begin{matrix}\dfrac{-3}{x-y+1}+\dfrac{1}{x +y-2}=12\\\dfrac{2}{x-y+1}-\dfrac{3}{x+y-2}=-1\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^2+2\left(y^2+2y\right)=10\\3x^2-\left(y^2+2y\right)=9\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}\dfrac{7}{\sqrt{x-1}}-\dfrac{5}{\sqrt{y+2}}=\dfrac{9}{2}\\\dfrac{3}{\sqrt{x-1}}+\dfrac{2}{\sqrt{y+2}}=4\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}1+\left(x+z\right)^2=\dfrac{1}{y^2}-\sqrt{y-1}\\y=\dfrac{x^2+y^2}{2}\end{matrix}\right.\)
Giải hệ phương trình:
a)left{{}begin{matrix}dfrac{3x+2}{x-1}-dfrac{3y-1}{y+2}0dfrac{2}{x-1}+dfrac{3}{y+2}1end{matrix}right.
b)left{{}begin{matrix}dfrac{4x-5}{x+1}+dfrac{2y-3}{y-5}8dfrac{3}{x+1}-dfrac{2}{y-5}-1end{matrix}right.
c)left{{}begin{matrix}dfrac{x+y-2}{x+1}+dfrac{3-x}{y+1}dfrac{5}{4}dfrac{3left(x+y-2right)}{x+1}-dfrac{5-x+2y}{y+1}dfrac{3}{4}end{matrix}right.
d)left{{}begin{matrix}dfrac{x-y+1}{x-3}+dfrac{x+1}{y-3}dfrac{-7}{2}dfrac{2left(x-y+1right)}{x-3}-dfrac{x+y-2}{y-3}-dfrac{9}{2}...
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Giải hệ phương trình:
a)\(\left\{{}\begin{matrix}\dfrac{3x+2}{x-1}-\dfrac{3y-1}{y+2}=0\\\dfrac{2}{x-1}+\dfrac{3}{y+2}=1\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{4x-5}{x+1}+\dfrac{2y-3}{y-5}=8\\\dfrac{3}{x+1}-\dfrac{2}{y-5}=-1\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\dfrac{x+y-2}{x+1}+\dfrac{3-x}{y+1}=\dfrac{5}{4}\\\dfrac{3\left(x+y-2\right)}{x+1}-\dfrac{5-x+2y}{y+1}=\dfrac{3}{4}\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\dfrac{x-y+1}{x-3}+\dfrac{x+1}{y-3}=\dfrac{-7}{2}\\\dfrac{2\left(x-y+1\right)}{x-3}-\dfrac{x+y-2}{y-3}=-\dfrac{9}{2}\end{matrix}\right.\)
e)\(\left\{{}\begin{matrix}x^2-y^2+2y=1\\\left(x+y\right)^2-2x-2y=0\end{matrix}\right.\)
f)\(\left\{{}\begin{matrix}4x^2+y^2-4xy=4\\x^2+y^2-2\left(xy+8\right)=0\end{matrix}\right.\)
Giải hệ phương trình
\(\left\{{}\begin{matrix}x^2+\left(y-1\right)^2=85\\\dfrac{1}{y}=\dfrac{3}{x}\end{matrix}\right.\)
Giải hệ phương trình :
a) left{{}begin{matrix}4dfrac{1}{x}+dfrac{1}{y}12dfrac{1}{x}+dfrac{1}{y}-3end{matrix}right.
b) left{{}begin{matrix}5dfrac{1}{x}+2dfrac{1}{y}62dfrac{1}{x}-dfrac{1}{y}3end{matrix}right.
c) left{{}begin{matrix}3dfrac{1}{x}-6dfrac{1}{y}2dfrac{1}{x}-dfrac{1}{y}5end{matrix}right.
d) left{{}begin{matrix}dfrac{1}{x}-4dfrac{1}{y}52dfrac{1}{x}-3dfrac{1}{y}1end{matrix}right.
e) left{{}begin{matrix}dfrac{1}{x}-3dfrac{1}{y}46dfrac{1}{x}-dfrac{1}{y}2end{matrix}right.
Đọc tiếp
Giải hệ phương trình :
a) \(\left\{{}\begin{matrix}4\dfrac{1}{x}+\dfrac{1}{y}=12\\\dfrac{1}{x}+\dfrac{1}{y}=-3\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}5\dfrac{1}{x}+2\dfrac{1}{y}=6\\2\dfrac{1}{x}-\dfrac{1}{y}=3\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}3\dfrac{1}{x}-6\dfrac{1}{y}=2\\\dfrac{1}{x}-\dfrac{1}{y}=5\end{matrix}\right.\)
d) \(\left\{{}\begin{matrix}\dfrac{1}{x}-4\dfrac{1}{y}=5\\2\dfrac{1}{x}-3\dfrac{1}{y}=1\end{matrix}\right.\)
e) \(\left\{{}\begin{matrix}\dfrac{1}{x}-3\dfrac{1}{y}=4\\6\dfrac{1}{x}-\dfrac{1}{y}=2\end{matrix}\right.\)
Giải hệ phương trình:
\(\left\{{}\begin{matrix}x+y+z=9\\\sqrt{x}+\sqrt{y}+\sqrt{z}=5\\\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=\dfrac{3}{2}\end{matrix}\right.\)
giải hệ phương trình sau:
\(\left\{{}\begin{matrix}x^2+\dfrac{1}{y^2}+\dfrac{x}{y}=3\\x+\dfrac{1}{y}+\dfrac{x}{y}=3\end{matrix}\right.\)