`2/3 +1/3 :x =1`
`1/3 :x = 1 -2/3 = 3/3 -2/3 =1/3`
`x = 1/3 :1/3 =1`
`1/3 + 2/3 *x = 14/15`
`2/3 *x = 14/15 -1/3 = 14/15 - 5/15`
`2/3 *x = 9/15 = 3/5`
`x = 3/5 : 2/3 = 9/10`
a) \(\dfrac{2}{3}+\dfrac{1}{3}:x=1\)
\(\dfrac{1}{3}:x=1-\dfrac{2}{3}=\dfrac{3}{3}-\dfrac{2}{3}\)
\(\dfrac{1}{3}:x=\dfrac{1}{3}\)
\(x=\dfrac{1}{3}:\dfrac{1}{3}\)
\(x=1\)
b) \(\dfrac{1}{3}+\dfrac{2}{3}\times x=\dfrac{14}{15}\)
\(\dfrac{2}{3}\times x=\dfrac{14}{15}-\dfrac{1}{3}=\dfrac{14}{15}-\dfrac{5}{15}\)
\(\dfrac{2}{3}\times x=\dfrac{9}{15}=\dfrac{3}{5}\)
\(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{3}{5}\times\dfrac{3}{2}\)
\(x=\dfrac{9}{10}\)