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

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

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.

exactly two solutions
no solution
infinitely many solutions
a unique solutions

Correct Answer: no solution

Explanation:

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.

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