Question

Answer 1

a)

\(x-\dfrac{3}{4}=\dfrac{1}{2}\\ x=\dfrac{1}{2}+\dfrac{3}{4}\\ x=\dfrac{2}{4}+\dfrac{3}{4}\\ x=\dfrac{5}{4}\)

b)

\(x-\dfrac{2}{5}=\dfrac{5}{7}\\ x=\dfrac{5}{7}+\dfrac{2}{5}\\ x=\dfrac{25}{35}+\dfrac{14}{35}\\ x=\dfrac{39}{35}\)

c)

\(x-\dfrac{2}{3}=\dfrac{5}{6}\\ x=\dfrac{5}{6}+\dfrac{2}{3}\\ x=\dfrac{5}{6}+\dfrac{4}{6}\\ x=\dfrac{9}{6}\\ x=\dfrac{3}{2}\)

Answer 2

a)

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

\(x=\dfrac{1}{2}+\dfrac{3}{4}\)

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

\(x=\dfrac{5}{4}\)

b)

\(x-\dfrac{2}{5}=\dfrac{5}{7}\)

\(x=\dfrac{5}{7}+\dfrac{2}{5}\)

\(x=\dfrac{25}{35}+\dfrac{14}{35}\)

\(x=\dfrac{39}{35}\)

c)

\(x-\dfrac{2}{3}=\dfrac{5}{6}\)

\(x=\dfrac{5}{6}+\dfrac{2}{3}\)

\(x=\dfrac{5}{6}+\dfrac{4}{6}\)

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

Answer 3

a)\(x=\dfrac{2}{4}+\dfrac{3}{4}=\dfrac{5}{4}\)
b)\(x=\dfrac{25}{35}+\dfrac{14}{35}=\dfrac{39}{35}\)
c)\(x=\dfrac{5}{6}+\dfrac{4}{6}=\dfrac{3}{2}\)