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algebra

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the mid point of a segment joining (a,b) and (-3,4b) is (2,3a+4).find a & b.

  • algebra -

    for the x-coordinate:
    (a-3)/2 = 2
    a-3 = 4
    a = 7

    for the y-coordinate:
    (b + 4b)/2 = 3a + 4
    5b = 6a + 8
    5b = 42+8 = 50
    b = 10

    check:
    is (2,25) the midpoint of (7,10) and (-3,40) ?
    Yes, it is

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