câu a tẹo mình chụp bài cho nhé
b) \(2\left|x-1\right|+3x=7\)
\(\Leftrightarrow2\left|x-1\right|=7-3x\left(1\right)\)
Vì \(2\left|x-1\right|\ge0;\forall x\)
\(\Rightarrow7-3x\ge0;\forall x\)
\(\Rightarrow x\le\frac{7}{3}\)
Từ \(\left(1\right)\Rightarrow\orbr{\begin{cases}2\left(x-1\right)=7-3x\\2\left(1-x\right)=7-3x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x-2=7-3x\\2-2x=7-3x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}5x=9\\x=5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{9}{5}\left(tm\right)\\x=5\left(loai\right)\end{cases}}\)
Vậy \(x=\frac{9}{5}\)
ukm cảm ơn bn nha!!!!
