3x – 7y = 15; 6x = 14y + 10

(iii) 3x – 7y = 15; 6x = 14y + 10

Sol. 3x – 7y = 15

Comparing with a1x + b1y = c1 we get, a1 = 3, b1 = – 7, c1 = 15

6x = 14y + 10

∴  6x – 14y = 10.

Comparing with a2x + b2y = c2 we get, a2 = 6, b2 = – 14, c2 = 10

a₁/a₂ = 3/6 = 1/2 ............ eq. no. (i)

b₁/b₂ = -7/-14 = 1/2 ............ eq. no. (ii)

c₁/c₂ = 15/10 = 3/2 ............ eq. no. (iii)

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

a₁/a₂ = b₁/b₂  ≠  c₁/c₂

∴ No solution.