Question

5/3-x+1/5=-3/10

x-(1-1/4)=2/3

1-5/3=1/5-x

Answer 1

a) \(\dfrac{5}{3}-x+\dfrac{1}{5}=\dfrac{-3}{10}\)

\(-x=\dfrac{-3}{10}-\dfrac{1}{5}-\dfrac{5}{3}\)

\(-x=\dfrac{-3.3-1.6-5.10}{30}\)

\(-x=\dfrac{-65}{30}\)

\(\Rightarrow x=\dfrac{13}{6}\)

Answer 2

b) \(x-\left(1-\dfrac{1}{4}\right)=\dfrac{2}{3}\)

\(x-\dfrac{3}{4}=\dfrac{2}{3}\)

\(x=\dfrac{2}{3}+\dfrac{3}{4}=\dfrac{17}{12}\)

c)\(1-\dfrac{5}{3}=\dfrac{1}{5}-x\)

\(x=\dfrac{1}{5}+\dfrac{5}{3}-1=\dfrac{13}{15}\)