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17 April, 14:35

If the lines px = 12 and 2x + qy = 10 intersects at (1, 1), what is the value of p + q?

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  1. 17 April, 14:44
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    p + q = 20

    Step-by-step explanation:

    Given the lines intersect at (1, 1) then x = 1 and y = 1 make the equations true.

    Consider

    px = 12 with x = 1

    p = 12

    Consider

    2x + qy with x = 1 and y = 1

    2 + q = 10 (subtract 2 from both sides)

    q = 8

    Hence p + q = 12 + 8 = 20
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