Question

b) 1/2 = x+1/3x 

Answer 1

\(\dfrac{1}{2}=\dfrac{x+1}{3x}\\ \Leftrightarrow1\cdot3x=2\left(x+1\right)\\ \Leftrightarrow3x=2x+2\\ \Leftrightarrow3x-2x=2\\ \Leftrightarrow x=2\)

Answer 2

`1/2 = (x+1)/(3x)`

`=> 3x = 2(x+1)`

`<=>3x = 2x+2`

`<=> 3x - 2x =2`

`=> x =2`

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

`<=>1/2 = x(1+1/3)`

`<=> 1/2 = x * 4/3`

`=> x = 1/2 : 4/3 = 1/2 xx 3/4 = 3/8`

Answer 3

`=> 4/3 x = 1/2`

`=> x = 1/2 : 4/3`

`=> x = 3/8`