Question

|-7/9+x|-5/6=1/18

Answer 1

\(\Leftrightarrow\left|-\dfrac{7}{9}+x\right|=\dfrac{8}{9}\\ \Leftrightarrow\left[{}\begin{matrix}-\dfrac{7}{9}+x=\dfrac{8}{9}\\-\dfrac{7}{9}+x=-\dfrac{8}{9}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=-\dfrac{1}{9}\end{matrix}\right.\)

Answer 2

\(\Rightarrow\left|x-\dfrac{7}{9}\right|=\dfrac{8}{9}\Rightarrow\left[{}\begin{matrix}x-\dfrac{7}{9}=\dfrac{8}{9}\\\dfrac{7}{9}-x=\dfrac{8}{9}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=-\dfrac{1}{9}\end{matrix}\right.\)

Answer 3

Thanks kiu :3