Write each of the following equations in the form `ax+by+c=0` and indicate the values of a,b,c in each case. (i) `3 = 2x + y`
(ii) `3x-8 = 5y`
(iii) `x=4y`
(iv) `x/3- y/2=5`
(v) `4y-3 = sqrt(2) x`
(vi) `pix+ y = 6`

Explanation

(i) We have `3=2x + y rArr 2x + y-3 =0.`
This is of the form `ax+by+c=0`, where `a=2, b=1 and c=-3.`
(ii) ` 3x - 8 = 5y rArr 3x = 5y + 8`
` rArr 3x - 5y -8=0.`
This is of the form `ax+by+c=0, " where " a =3, b=-5 and c=-8.`
(iii) `x=4y rArr x-4y = 0`
`rArr x- 4y + 0 = 0.`
This is of the form` ax+by + c=0 " where " a=1,b=-4 and c=0.`
(iv) `x/3-y/2=5 rArr 2x-3y = 30.`
This is of the form `ax+by+c=0," where " a=2, b=-3 and c=-30`.
(v) `4y - 3 = sqrt(2x) rArr sqrt (2x) - 4y + 3 = 0.`
This is of the form `ax+by+ c =0," where " a = sqrt(2), b=-4 and c=3.`
(vi) `pix + y= 6 rArr pi x +y = 6 =0.`
This is of the form `ax+by+c=0," where " a=pi, b=1 and c=-6.`