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How many solutions does the system 2x + 3y = 5, 4x + 6y = 11 have?

Ainfinitely many
Bone
Ctwo
Dnone
Answer & Solution
Correct answer: D. none
a₁/a₂ = 2/4 = 1/2, b₁/b₂ = 3/6 = 1/2, c₁/c₂ = 5/11. Equal first two but third differs ⇒ parallel lines ⇒ no solution.
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