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