\(a,\dfrac{3}{2}x=\dfrac{5}{6}-\dfrac{1}{6}\\ \dfrac{3}{2}x=\dfrac{2}{3}\\ x=\dfrac{2}{3}:\dfrac{3}{2}\\ x=\dfrac{4}{9}\\ b,\dfrac{5}{2}x=\dfrac{7}{2}-\dfrac{1}{2}\\ \dfrac{5}{2}x=3\\ x=3:\dfrac{5}{2}\\ x=\dfrac{6}{5}\\ c,x:\dfrac{3}{2}=-\dfrac{5}{3}+\dfrac{3}{2}\\ x:\dfrac{3}{2}=-\dfrac{1}{6}\\ x=-\dfrac{1}{6}.\dfrac{3}{2}\\ x=-\dfrac{1}{4}\\ \)
a) \(\dfrac{3}{2}x+\dfrac{1}{6}=\dfrac{5}{6}\)
\(\dfrac{3}{2}x=\dfrac{5}{6}-\dfrac{1}{6}\)
\(\dfrac{3}{2}x=\dfrac{2}{3}\)
\(x=\dfrac{2}{3}:\dfrac{3}{2}=\dfrac{4}{9}\)
b) \(\dfrac{7}{2}-\dfrac{5}{2}x=\dfrac{1}{2}\)
\(\dfrac{5}{2}x=\dfrac{7}{2}-\dfrac{1}{2}\)
\(\dfrac{5}{2}x=3\)
\(x=3:\dfrac{5}{2}=\dfrac{6}{5}\)
c) \(x:\dfrac{3}{2}-\dfrac{3}{2}=\dfrac{-5}{3}\)
\(x:\dfrac{3}{2}=\dfrac{-5}{3}+\dfrac{3}{2}\)
\(x:\dfrac{3}{2}=\dfrac{-1}{6}\)
\(x=\dfrac{-1}{6}\cdot\dfrac{3}{2}=\dfrac{-1}{4}\)
a) \(\dfrac{3}{2}x+\dfrac{1}{6}=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{3}{2}x=\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{3}.\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{4}{9}\)
b) \(\dfrac{7}{2}-\dfrac{5}{2}x=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{5}{2}x=\dfrac{7}{2}-\dfrac{1}{2}\)
\(\Rightarrow\dfrac{5}{2}x=3\)
\(\Rightarrow x=\dfrac{6}{5}\)
c) \(x:\dfrac{3}{2}-\dfrac{3}{2}=-\dfrac{5}{3}\)
\(\Rightarrow x:\dfrac{3}{2}=-\dfrac{1}{6}\)
\(\Rightarrow x=-\dfrac{1}{6}.\dfrac{3}{2}\)
\(\Rightarrow x=-\dfrac{1}{4}\)
`a)`
`3/2 . x + 1/6 = 5/6`
`=> 3/2 .x= 5/6-1/6`
`=>3/2 .x = 4/6`
`=>3/2 .x =2/3`
`=>x=2/3:3/2`
`=>x=2/3 . 2/3`
`=>x= 4/9`
`b)`
`7/2 - 5/2 x = 1/2`
`=> 5/2 x =7/2 - 1/2`
`=>5/2 x =6/2`
`=> 5/2 x= 3`
`=>x= 3 : 5/2`
`=>x= 3 . 2/5`
`=>x= 6/5`
`c)`
`x:3/2 - 3/2 = - 5/3`
`=>x : 3/2 = -5/3 + 3/2`
`>x : 3/2 = -1/6`
`=>x=-1/6 . 3/2`
`=>x=-1/4`
a) 3/2x = 5/6 - 1/6
3/2x = 2/3
x = 2/3 : 3/2
= 4/9
b) 5/2x = 7/2 -1/2
5/2x = 3
x = 3 : 5/2
x = 6/5
c) x: 3/2 = 5/3 + 3/2
x : 3/2 = 1/6
x = 1/6 . 3/2
x = 1/4
