Question

Is it true to say that the pair of equations x-2y-2=0 and2x-y-4=0 has a unique solution ? Justify your answer

Answer 1

Yes, they do have a unique solution

Proof:-

Let,

x-2y-2=0 be a₁x+b₁y+c₁=0

2x-y-4=0 be a₂x+b₂y+c₂=0

Now,

a₁/a₂ = 1/2

b₁/b₂ = -2/-1 = 2

∴ a₁/a₂ ≠ b₁/b₂

∴ the two equations have a unique solution.

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Answer 2

Step-by-step explanation:

They are intersecting lines.

Thus they have unique solution .