Question

|3/4 x- 1/6|-2/3=11/12

Answer 1

\(\Leftrightarrow\left|\dfrac{3}{4}x-\dfrac{1}{6}\right|=\dfrac{19}{12}\Leftrightarrow\left[{}\begin{matrix}\dfrac{3}{4}x-\dfrac{1}{6}=\dfrac{19}{12}\\\dfrac{1}{6}-\dfrac{3}{4}x=\dfrac{19}{12}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}\dfrac{3}{4}x=\dfrac{7}{4}\\\dfrac{3}{4}x=-\dfrac{17}{12}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{3}\\x=-\dfrac{17}{9}\end{matrix}\right.\)

Answer 2

\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{3}{4}x-\dfrac{1}{6}=\dfrac{19}{12}\\\dfrac{3}{4}x-\dfrac{1}{6}=-\dfrac{19}{12}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{3}\\x=-\dfrac{17}{9}\end{matrix}\right.\)