Write each of the following in the form ax + by + c = 0:
(i) 3x = 5 (ii) 5y = 4
(i) 3x = 5
⇒ 3x – 5 = 0
Comparing, 3x – 5 = 0 with ax + by + c = 0 we get,
the coefficient of x i.e., a = 3
and the coefficient of y i.e., b = 0 since, there is no term of y
and clearly, c = – 5
putting the values of a, b and c in ax + by + c = 0 we get,
3x + 0×y – 5 = 0
(ii) 5y = 4
⇒ 5y – 4 = 0
Comparing, 5y – 4 = 0 with ax + by + c = 0 we get,
the coefficient of x i.e., a = 0 since, there is no term of x
and the coefficient of y i.e., b = 5
and clearly, c = – 4
putting the values of a, b and c in ax + by + c = 0 we get,
0×x + 5y – 4 = 0