giải hệ pt bằng phương pháp thế:
a,\(\left\{{}\begin{matrix}3x+y=-2\\-9x-39=6\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}x+y=101\\-x+y=-1\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}x+y=2\\\dfrac{1}{2}x+y=\dfrac{5}{4}\end{matrix}\right.\)
d,\(\left\{{}\begin{matrix}x-5y=16\\10y-2x=-32\end{matrix}\right.\)
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,\(\left\{{}\begin{matrix}x\left(y-2\right)=\left(x+2\right)\left(y-4\right)\\\left(x-3\right)\left(2y+7\right)=\left(2x-7\right)\left(y+3\right)\end{matrix}\right.\)
Tính GTBT chứa căn:
a,\(\dfrac{2}{4-3\sqrt{2}}\)-\(\dfrac{2}{4+3\sqrt{2}}\)
b,\(\dfrac{2}{1+\sqrt{2}}\)+\(\dfrac{2}{1-\sqrt{2}}\)
c,\(\left(\sqrt{14}-3\sqrt{2}\right)^2+6\sqrt{28}\)
d,\(\left(\sqrt{28}-2\sqrt{14}+\sqrt{7}\right).\sqrt{7}+7\sqrt{8}\)
e,\(\left(\sqrt{6}-\sqrt{5}\right)^2-2\sqrt{120}\)