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

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

1. exactly two solutions
2. no solution
3. infinitely many solutions
4. a unique solutions
5. None of the above

Correct Option: B

Given equations 2x + 4y = 6 and 4x + 8y = 6

then,
a₁/a₂ = 2/4 = 1/2;
b₁/b₂ = 4/8 = 1/2;
c₁/c₂ = 6/6 = 1
∴ a₁/b₂ = b₁/b₂ ≠ c₁/c₂

So there is no solution for these equations.