The graphs of the equations 2x + 3y – 2 = 0 and x – 2y – 8 = 0 are two lines which are

Question

Philoid · Accepted Answer

We have,

2x + 3y – 2 = 0

And, x – 2y – 8 = 0

Here, a₁ = 2, b₁ = 3 and c₁ = – 2

And, a₂ = 1, b₂ = – 2 and c₂ = – 8

∴ , and

Clearly,

Hence, the given system has a unique solution and the lines intersect exactly at one point

∴ Option C is correct