Write Each of the following equations in the form `a x+b y+c=0` and indicate the values of `a ,\ b\ a n d\ c` in each case:
(i) `x=2y`
(ii) `x/2-y/3=5`
(iii) `2y-3=sqrt(2)x`

Explanation

Given equation is in the form of ax+by+c=0_____1
Now comparing the given parts with equation 1
(i) x=2y
It can be re-arranged as:
x-2y=0
On comparing
a=1,b=-2 and c=0
(ii) `x/2-y/3=5`
It can be re-arranged as:
`x/2-y/3-5=0`
On comparing
`a=1/2`,`b=-1/3` and c= -5
(iii) `2y-3=sqrt2x`
It can be rearranged as :
`-sqrt2x+2y-3=0`
On comparing
`a=-sqrt2`, b=2 and c=-3