Đáp án+Giải thích các bước giải:
a,
$|\dfrac{1}{2}x|=3-2x(x≤\dfrac{3}{2})$
$⇔\left[\begin{matrix}\dfrac{x}{2}=3-2x\\\dfrac{x}{2}=2x-3\end{matrix}\right.$
$⇔\left[\begin{matrix}\dfrac{5}{2}x=3\\\dfrac{-3}{2}x=-3\end{matrix}\right.$
$⇔\left[\begin{matrix}x=\dfrac{6}{5}(t/m)\\\x=2(L)\end{matrix}\right.$
Vậy $x=\dfrac{6}{5}$
b,
$|x-1|=3x+2(x≥\dfrac{-2}{3})$
$⇔\left[\begin{matrix}x-1=3x+2\\x-1=-3x-2\end{matrix}\right.$
$⇔\left[\begin{matrix}-2x=3\\4x=-1\end{matrix}\right.$
$⇔\left[\begin{matrix}x=\dfrac{-3}{2}(L)\\x=\dfrac{-1}{4}\end{matrix}\right.$
Vậy $x=\dfrac{-1}{4}$
