a) \(\left(4,5-2x\right).1\dfrac{4}{7}=\dfrac{11}{7}\)
\(\left(4,5-2x\right).\dfrac{11}{7}=\dfrac{11}{7}\)
\(4,5-2x=\dfrac{11}{7}:\dfrac{11}{7}\)
\(4,5-2x=1\)
\(2x=4,5-1\)
\(2x=3,5\)
\(\Rightarrow x=1,75\)
b) \(\left|\dfrac{3}{4}x-\dfrac{1}{2}\right|-1=\dfrac{1}{4}\)
\(\left|\dfrac{3}{4}x-\dfrac{1}{2}\right|=\dfrac{1}{4}+1\)
\(\left|\dfrac{3}{4}x-\dfrac{1}{2}\right|=\dfrac{5}{4}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{3}{4}x-\dfrac{1}{2}=\dfrac{-5}{4}\\\dfrac{3}{4}x-\dfrac{1}{2}=\dfrac{5}{4}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{3}{4}x=\dfrac{-3}{4}\\\dfrac{3}{4}x=\dfrac{7}{4}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-1\\x=\dfrac{7}{3}\end{matrix}\right.\)
