Question

a) (1/2-x).2/3=1/8 b) 2x+1/3=x-5/2

Answer 1

`(1/2-x).2/3=1/8`

`=>1/2 x =1/8 : 2/3`

`=>1/2 x =1/8 xx 3/2`

`=>1/2 x =3/16`

`=>x=3/16 : 1/2`

`=>x=3/16 xx2`

`=> x=3/8`

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`2x +1/3 =x-5/2`

`=>2x-x=-5/2 -1/3`

`=>x= -17/6`

Answer 2

\(a,\left(\dfrac{1}{2}-x\right).\dfrac{2}{3}=\dfrac{1}{8}\\ \Leftrightarrow\dfrac{1}{2}-x=\dfrac{1}{8}:\dfrac{2}{3}\\ \Leftrightarrow\dfrac{1}{2}-x=\dfrac{3}{16}\\ \Leftrightarrow x=\dfrac{1}{2}-\dfrac{3}{16}\\ \Leftrightarrow x=\dfrac{8-3}{16}=\dfrac{5}{16}\)

\(b,2x+\dfrac{1}{3}=x-\dfrac{5}{2}\\ \Leftrightarrow2x-x=-\dfrac{5}{2}-\dfrac{1}{3}\\ \Leftrightarrow x=-\dfrac{17}{6}\)