Question

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

(i) (ii) (iii) − 2x + 3 y = 6

(iv) x = 3y (v) 2x = − 5y (vi) 3x + 2 = 0

(vii) y − 2 = 0 (viii) 5 = 2x

Answer 1

(i)

= 0

Comparing this equation with ax + by + c = 0,

a = 2, b = 3,

(ii)

Comparing this equation with ax + by + c = 0,

a = 1, b =, c = −10

(iii) − 2x + 3 y = 6

− 2x + 3 y − 6 = 0

Comparing this equation with ax + by + c = 0,

a = −2, b = 3, c = −6

(iv) x = 3y

1x − 3y + 0 = 0

Comparing this equation with ax + by + c = 0,

a = 1, b = −3, c = 0

(v) 2x = −5y

2x + 5y + 0 = 0

Comparing this equation with ax + by + c = 0,

a = 2, b = 5, c = 0

(vi) 3x + 2 = 0

3x + 0.y + 2 = 0

Comparing this equation with ax + by + c = 0,

a = 3, b = 0, c = 2

(vii) y − 2 = 0

0.x + 1.y − 2 = 0

Comparing this equation with ax + by + c = 0,

a = 0, b = 1, c = −2

(viii) 5 = 2x

− 2x + 0.y + 5 = 0

Comparing this equation with ax + by + c = 0,

a = −2, b = 0, c = 5