Giải các hệ phương trình sau :
a) \(\left\{{}\begin{matrix}4x+y=-5\\3x-2y=-12\end{matrix}\right.\);
b) \(\left\{{}\begin{matrix}x+3y=4y-x+5\\2x-y=3x-2\left(y+1\right)\end{matrix}\right.\);
c) \(\left\{{}\begin{matrix}3\left(x+y\right)+9=2\left(x-y\right)\\2\left(x+y\right)=3\left(x-y\right)-11\end{matrix}\right.\);
d) \(\left\{{}\begin{matrix}2\left(x+3\right)=3\left(y+1\right)+1\\3\left(x-y+1\right)=2\left(x-2\right)+3\end{matrix}\right.\).
Giải hệ phương trình
a, \(\left\{{}\begin{matrix}-2x+3y=-11\\-4x+6y=5\end{matrix}\right.\)
b, \(\left\{{}\begin{matrix}x-5y=-4\\-2x+9y=5\end{matrix}\right.\)
c, \(\left\{{}\begin{matrix}-x+3y=2\\2x-5y=1\end{matrix}\right.\)
d, \(\left\{{}\begin{matrix}-2x-y=-3\\3x+2y=6\end{matrix}\right.\)
các bạn ơi giải giúp mình với
Giải các hệ phương trình sau:a) \(\left\{{}\begin{matrix}\left(2x-y\right)^2-6x+3y=0\\x+2y=0\end{matrix}\right.\);b) \(\left\{{}\begin{matrix}\sqrt{\dfrac{2x-y}{x+y}}+\sqrt{\dfrac{x+y}{2x-y}}=2\\3x+y=14\end{matrix}\right.\)
giải hệ sau bằng phương pháp thế
a)\(\left\{{}\begin{matrix}2x-y=4\\x+5y=3\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}-2x+3y=-1\\x+2y=3\end{matrix}\right.\)
giải hệ sau:
a)\(\left\{{}\begin{matrix}x+y=-1\\2x+y=1\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{5}\\\dfrac{3}{x}+\dfrac{4}{y}=2\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}2\dfrac{5}{x-1}+\dfrac{3}{3y-2}=1\\\dfrac{2}{2x-1}+\dfrac{1}{3y-2}=1\end{matrix}\right.\)
Giải các hệ Pt sau:
a,\(\left\{{}\begin{matrix}-0,5x+1,2y=2,7\\x-4,5y=-7,5\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}5x+3y=19\\2x+9y=31\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}\frac{3}{4}x+\frac{2}{5}y=2,3\\x-\frac{3}{5}y=0,8\end{matrix}\right.\)
d,\(\left\{{}\begin{matrix}5\left(x+2y\right)-3\left(x-y\right)=99\\x-3y=7x-4y-17\end{matrix}\right.\)
Giải các hệ phương trình :
a) \(\left\{{}\begin{matrix}\left(x+3\right)\left(y+5\right)=\left(x+1\right)\left(y+8\right)\\\left(2x-3\right)\left(5y+7\right)=2\left(5x-6\right)\left(y+1\right)\end{matrix}\right.\);
b) \(\left\{{}\begin{matrix}\dfrac{2x-3}{2y-5}=\dfrac{3x+1}{3y-4}\\2\left(x-3\right)-3\left(y+2\right)=-16\end{matrix}\right.\).
giải hệ
a) \(\left\{{}\begin{matrix}x^2+y^2=2xy+1\\x^3-y^3=2xy+3\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^2+\frac{4}{y^2}=4\\x-\frac{2}{y}-\frac{4x}{y}=-2\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}2y^2-x^2=1\\2x^3-y^3=2y-x\end{matrix}\right.\)
d) \(\left\{{}\begin{matrix}x^2+6y=6x\\y^2+9=2xy\end{matrix}\right.\)
1, \(\left\{{}\begin{matrix}x^3+2y^2-4y+29=0\\x^2+x^2y^2-18y=0\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x^3+2y^2-4y+10=0\\x^2+x^2y^2-16y+12=0\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}x,y>0\\x+y=7\\\dfrac{9}{x}+\dfrac{16}{y}=7\end{matrix}\right.\)
4, \(\left\{{}\begin{matrix}x,y>0\\x+y=4\\\dfrac{4}{x}+\dfrac{9}{y}\le4\end{matrix}\right.\)
5, \(\left\{{}\begin{matrix}x^3+y^2=\dfrac{211}{27}\\x^2+y^2+xy-3x-4y+4=0\end{matrix}\right.\)
6, \(\left\{{}\begin{matrix}x^4+81y^2=697\\x^2+9y^2+3xy-9x-36y+36=0\end{matrix}\right.\)
1) Giải hệ phương trình
\(\left\{{}\begin{matrix}3x^2+xy-4x+2y=2\\x\left(x+1\right)+y\left(y+1\right)=4\end{matrix}\right.\)
2) Giải phương trình
\(\sqrt{x^2-5x+4}+2\sqrt{x+5}=2\sqrt{x-4}+\sqrt{x^2+4x-5}\)
3) Tính giá trị của biểu thức
\(A=2x^3+3x^2-4x+2\)
Với \(x=\sqrt{2+\sqrt{\dfrac{5+\sqrt{5}}{2}}}+\sqrt{2-\sqrt{\dfrac{5+\sqrt{5}}{2}}}-\sqrt{3-\sqrt{5}}-1\)
4) Cho x, y thỏa mãn:
\(\sqrt{x+2014}+\sqrt{2015-x}-\sqrt{2014-x}=\sqrt{y+2014}+\sqrt{2015-y}-\sqrt{2014-y}\)
Chứng minh \(x=y\)