The system of equations 3x + y - 4 = 0 and 6x + 2y -

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The system of equations 3x + y - 4 = 0 and 6x + 2y - 8 = 0 has

1. a unique solution x = 1 , y = 1
2. a unique solution x = 0, y = 4
3. no solution
4. infinite solutions

Correct Option: D

Given equations of system
3x + y = 4 ...(i)
x + 2y = 8 ...(ii)
Here, a₁ = 3 , b₂ = 2 and c₂ = B
∵ a₁/a₂ = b₁/b₂ = c₁/c₂ = 1/2
So, the system of equations has infinite solutions, because it represents a parallel line.