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) - 2x + 3y = 12
(ii) x - y/2 - 5 = 0
(iii) 2x + 3y = 9.35
(iv) 3x = -7y
(v) 2x + 3 = 0
(vi) y - 5 = 0
(vii) 4 = 3x
(viii) y = x/2 ;
(i) We are given
- 2x + 3y = 12
- 2x + 3y - 12 = 0
Comparing the given equation with ax + by + c = O
We get, a = - 2; b = 3; c = -12
(ii) We are given
x - y/2 - 5= 0
Comparing the given equation with ax + by + c = 0,
We get, a = 1; b = – 1/2, c = – 5
(iii) We are given
2x + 3y = 9.35
2x + 3y - 9.35 =0
Comparing the given equation with ax + by + c = 0
We get, a = 2; b = 3; c = - 9.35
(iv) We are given
3x = - 7y
3x + 7y = 0
Comparing the given equation with ax+ by + c = 0,
We get, a = 3; b = 7; c = 0
(v) We are given
2x + 3 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 2; b = 0; c = 3
(vi) We are given
y - 5 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 0; b = 1; c = – 5
(vii) We are given
4 = 3x
3x - 4 = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 3; b = 0; c = - 4
(viii) We are given
y = x/2
Taking L.C.M ⟹ x - 2y = 0
Comparing the given equation with ax + by + c = 0,
We get, a = 1; b = – 2; c = 0