\(\Leftrightarrow\left\{{}\begin{matrix}2x-4+3-3y=-2\\3x-6-2-2y=-3\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-3y=-1\\3x-2y=5\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=\frac{17}{5}\\y=\frac{13}{5}\end{matrix}\right.\)
Giải hệ phương trình
\(\left\{{}\begin{matrix}4\left(2x-y+3\right)-3\left(x-2y+3\right)=48\\3\left(3x-4y+3\right)+4\left(4x-2y-9\right)=48\end{matrix}\right.\)
\(\left\{{}\begin{matrix}6\left(x+y\right)=8+2x-3y\\5\left(y-x\right)=5+3x+2y\end{matrix}\right.\)
\(\left\{{}\begin{matrix}-2\left(2x+1\right)+1,5=3\left(y-2\right)-6x\\11,5-4\left(3-x\right)=2y-\left(5-x\right)\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\dfrac{8x-5y-3}{7}+\dfrac{11y-4x-7}{5}=12\\\dfrac{9x+4y-13}{5}-\dfrac{3\left(x-2\right)}{4}=15\end{matrix}\right.\)
\(\left\{{}\begin{matrix}2\sqrt{3}x-\sqrt{5}y=2\sqrt{6}-\sqrt{15}\\3x-y=3\sqrt{2}-\sqrt{3}\end{matrix}\right.\)
1)\(\left\{{}\begin{matrix}x^2-y^2-2x+2y=0\\x^2-3xy+5y^2-3=0\end{matrix}\right.\)
2)\(\left\{{}\begin{matrix}\frac{1}{x}+\frac{1}{1-y}=1\\\frac{1}{x-1}-\frac{1}{y}=2\end{matrix}\right.\)
3)\(\left\{{}\begin{matrix}x^2-4x+3=0\\x^2+xy+y^2=1\end{matrix}\right.\)
4)\(\left\{{}\begin{matrix}x^2+y^2+x+y=2\\\left(x+1\right)^2-\left(y+2\right)^2=0\end{matrix}\right.\)
Bµi 1: A)\(\left\{{}\begin{matrix}X=35.\left(Y+2\right)\\X=50.\left(Y-1\right)\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}Y=2X-3\\Y=X-1\end{matrix}\right.\)
C) \(\left\{{}\begin{matrix}\left(X+14\right).\left(Y-2\right)=X.Y\\\left(X-4\right).\left(Y+1\right)=X.Y\end{matrix}\right.\)
D)\(\left\{{}\begin{matrix}Y=\frac{6-X}{4}\\Y=\frac{4X-5}{3}\end{matrix}\right.\)GIẢI BÀI 1 BẰNG PHƯƠNG PHAP THẾ
\(\left\{{}\begin{matrix}6.\left(x+y\right)=8+2x-3y\\5.\left(y-x\right)=5+3x+2y\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x-1\right).\left(y-2\right)=\left(x+1\right).\left(y-3\right)\\\left(x-5\right).\left(y+4\right)=\left(x-4\right).\left(y+1\right)\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\left(x-1\right)\left(y+3\right)=xy+27\\\left(x-2\right)\left(y+1\right)-xy=8\end{matrix}\right.\)
Giải hệ phương trình
a)\(\left\{{}\begin{matrix}6x^2-3xy+x=1-y\\x^2+y^2=1\end{matrix}\right.\) c)\(\left\{{}\begin{matrix}\left|x+1\right|+\left|y-1\right|=5\\\left|x+1\right|-4y+4=0\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}2x^2-2x+xy-y=0\\x^2-3xy+4=0\end{matrix}\right.\)
a) \(\left\{{}\begin{matrix}2x+4=0\\4x+2y=-3\end{matrix}\right.\) c)\(\left\{{}\begin{matrix}\left(x-15\right).\left(y+2\right)=x.y\\\left(x+15\right).\left(y-1\right)=x.y\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}2x+4=y\\x+2y=-3\end{matrix}\right.\) d) \(\left\{{}\begin{matrix}\frac{1}{x}+\frac{1}{y}=5\\\frac{2}{x}+\frac{5}{y}=7\end{matrix}\right.\) tính bằng phương pháp cộng dại số
Giải các hệ phương trình :
a) \(\left\{{}\begin{matrix}\left(x-3\right)\left(2y+5\right)=\left(2x+7\right)\left(y-1\right)\\\left(4x+1\right)\left(3y-6\right)=\left(6x-1\right)\left(2y+3\right)\end{matrix}\right.\);
b) \(\left\{{}\begin{matrix}\left(x+y\right)\left(x-1\right)=\left(x-y\right)\left(x+1\right)\left(2xy\right)\\\left(y-x\right)\left(y+1\right)=\left(y+x\right)\left(y-2\right)-2xy\end{matrix}\right.\).
Giải hệ pt:
a)\(\left\{{}\begin{matrix}x-\left(1+\sqrt{3}\right)y=1\\\left(1-\sqrt{3}\right)x+y=1\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}-x-\sqrt{2}y=\sqrt{3}\\\sqrt{2}x+2y=-\sqrt{6}\end{matrix}\right.\)
