(x – 2y)/3 = 1; 2x – 4y = 9/2

(v) (x – 2y)/3 = 1; 2x – 4y = 9/2

Sol. (x – 2y)/3 = 1

∴ x – 2y = 3

Comparing with a1x + b1y = c1 we get, a1 = 1, b1 = – 2, c1 = 3

2x – 4y = 9/2

2 (2x – 4y) = 9

∴  4x – 8y = 9

Comparing with a2x + b2y = c2 we get, a2 = 4, b2 = – 8, c2 = 9

a₁/a₂ = 1/4 = 1/4 ............ eq. no. (i)

b₁/b₂ = -2/-8 = 1/4  ............ eq. no. (ii)

c₁/c₂ = 3/9 = 1/3 ............ eq. no. (iii)

From Equation (i) , (ii) and (iii) we get

a₁/a₂ = b₁/b₂  ≠  c₁/c₂

∴ No solution.