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    Question

    ┬аIf the point of intersection of the lines 2x + y = 11

    and x - y = 1 is P(a, b), then the value of a + 2b is:
    A 12 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    ATQ, From x - y = 1 x = y + 1 Substitute into 2x + y = 11: 2(y + 1) + y = 11 3y + 2 = 11 3y = 9 y = 3 Then x = 4 So P(a, b) = (4, 3) a + 2b = 4 + 6 = 10

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