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  1. The system of linear equations 4x + 2y = 1 , 2x + y = 6 has

  2. A.
    a unique solution
    B.
    no solution
    C.
    an infinite number of solutions
    D.
    exactly two distinct solutions

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    Answer : Option B

    Explanation :

    4x + 1y = 7 → (1)

    2x + y = 6 → (2)

    (1) can be written as 2x + y = 3.5 → (3)

    Now LHS of equations (2) and (3) are same but RHS is different which is not possible. Hence no solution.


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