Ai bt giúp mình với ạ
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a, \(\left\{{}\begin{matrix}35x-28y=21\\35x-45y=40\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}17y=-19\\x=\dfrac{3+4y}{5}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=-\dfrac{19}{17}\\x=-\dfrac{13}{17}\end{matrix}\right.\)
b, Đặt x;y khác 0
Đặt 1/x = t ; 1/y = u
\(\left\{{}\begin{matrix}t-8u=18\\5t+4u=51\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}5t-40u=90\\5t+4u=51\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}-44u=39\\t=18+8u\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}u=-\dfrac{39}{44}\\t=\dfrac{120}{11}\end{matrix}\right.\)
Theo cách đặt y = -44/39 ; x = 11/120 (tm)
\(a,\\ \Leftrightarrow\left\{{}\begin{matrix}35x-28y=21_{\left(1\right)}\\35x-45y=40_{\left(2\right)}\end{matrix}\right.\\ Lấy\left(1\right)-\left(2\right),ta.đc:\\ -17y=19\Leftrightarrow y=\dfrac{-19}{17}\\ Thay.vào.\left(1\right):\\ 35x-28.\dfrac{-19}{17}=21\Leftrightarrow x=\dfrac{-5}{17}\)
Vậy ......
\(b,\\ \Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{x}=18+\dfrac{1}{y}\\5.\left(18+\dfrac{1}{y}\right)+\dfrac{4}{y}=51\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{x}=18+\dfrac{1}{y}\\\dfrac{9}{y}=-39\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{x}=18-\dfrac{13}{3}\\\dfrac{1}{y}=\dfrac{-13}{3}\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{x}=\dfrac{41}{3}\\\dfrac{1}{y}=\dfrac{-13}{3}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{41}\\y=\dfrac{-3}{13}\end{matrix}\right.\)
Hiểu như này:
\(\dfrac{a}{1+a}+\dfrac{b}{1+b}+\dfrac{b}{1+b}=3-\left(\dfrac{1}{1+a}+\dfrac{1}{1+b}+\dfrac{1}{1+b}\right)\le3-\dfrac{9}{1+a+1+b+1+b}=\dfrac{3\left(a+2b\right)}{3+a+2b}\)
Bài 1 :
\(CT:C_nH_{2n-6}\left(n\ge6\right)\)
\(\%C=\dfrac{12n}{14n-6}\cdot100\%=90.57\%\)
\(\Rightarrow n=8\)
\(CT:C_8H_{10}\)
Bài 2 :
\(n_{CO_2}=\dfrac{17.6}{44}=0.4\left(mol\right)\)
\(CT:C_nH_{2n+1}OH\)
\(\Rightarrow n_{ancol}=\dfrac{n_{CO_2}}{n}=\dfrac{0.4}{n}\left(mol\right)\)
\(M_A=\dfrac{7.4}{\dfrac{0.4}{n}}=\dfrac{37}{2}n\left(\dfrac{g}{mol}\right)\)
\(\Rightarrow14n+18=\dfrac{37}{2}n\)
\(\Rightarrow n=4\)
\(CT:C_4H_9OH\)
\(CTCT:\)
\(B1:\)
\(CH_3-CH_2-CH_2-CH_2-OH:butan-1-ol\)
\(B2:\)
\(CH_3-CH_2-CH\left(CH_3\right)-OH:butan-2-ol\)
\(B2:\)
\(CH_3-CH\left(CH_3\right)-CH_2-OH:2-metylpropan-1-ol\)
\(B3:\)
\(C\left(CH_3\right)_3-OH:2-metylpropan-2-ol\)