Question

|2x-1/3|+5/6=1

Answer 1

|2x -\(\frac{1}{3}\)|+\(\frac{5}{6}\)=1

|2x -\(\frac{1}{3}\)|=1+\(\frac{5}{6}\)

|2x -1\3|=\(\frac{11}{6}\)\(\rightarrow\)\(\left[{}\begin{matrix}2x-1\backslash3=11\backslash6\\2x-1\backslash3=-11\backslash6\end{matrix}\right.\)\(\rightarrow\)\(\left[{}\begin{matrix}2x=11\backslash6+1\backslash3\\2x=-11\backslash6+1\backslash3\end{matrix}\right.\)

\(\rightarrow\)\(\left[{}\begin{matrix}2x=13\backslash6\\2x=-3\backslash2\end{matrix}\right.\)\(\rightarrow\)\(\left[{}\begin{matrix}x=13\backslash6:2\\x=-3\backslash2:2\end{matrix}\right.\)\(\rightarrow\)\(\left[{}\begin{matrix}x=13\backslash12\\x=-3\backslash4\end{matrix}\right.\)