Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

(i)


(ii)


(iii) –2x + 3y = 6


(iv) x = 3y


(v) 2x = –5y


(vi) 3x + 2 = 0
(vii) y – 2 = 0


(viii) 5 = 2x


(i) 2x + 3y = 9.35̅

2x + 3y - 9.35̅ = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = 2x,


b = 3


and c = - 9.35̅


(ii) x – y/5 - 10 = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = 1,


b =


and c = - 10


(iii) -2x + 3y = 6


-2x + 3y – 6 = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = -2,


b = 3


and c = -6


(iv) x = 3y


x – 3y = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = 1,


b = -3


and c = 0


(v) 2x = -5y


2x + 5y = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = 2,


b = 5


and c = 0


(vi) 3x + 2 = 0


3x + 0y + 2 = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = 3,


b = 0


And c = 2


(vii) y – 2 = 0


0x + y – 2 = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = 0,


b = 1


And c = -2


(viii) 5 = 2x


-2x + 0y + 5 = 0


Now,


On comparing this equation with ax + by + c = 0


We get,


a = -2,


b = 0


And c = 5


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