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    The graph of 2x = 5 - 3y cuts the x-axis at the point P (α, β). The value of (2α+β) is:
    Question

    The graph of 2x = 5 - 3y cuts the x-axis at the point P (α, β). The value of (2α+β) is:

    A.

    3

    B.

    2

    C.

    5

    D.

    8

    Correct option is C


    Given line: 2x = 5 - 3y cut the x -axis
    at let y = 0
    ∴ 2x = 5
    x = 5/2
    Then the line 2x = 5 - 3y cut the x-axis at
    ∴ α = 5/2 and β = 0
    ∴2α + β = 2 × 5/2 + 0 = 5

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