The curve y=9-6/x and the line y+x=8 intersect at two points. Find the coordinates of the two points​

Question

The curve y=9-6/x and the line y+x=8 intersect at two points. Find the coordinates of the two points​

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Yến Oanh 5 years 2021-09-02T13:26:30+00:00 2 Answers 9 views 0

Answers ( )

  1. trungdung22
    0
    2021-09-02T13:27:35+00:00
    Reply

    Answer: (2,6) (-3,11)

    Step-by-step explanation:

    At the intersection, y=9- 6/x and y+x = 8 are equal to each other

    y + x = 8  is the same as y=8-x

    Sub this into y = 9 – 6/x

    8 – x = 9 – 6/x

    Multiply everything by x:

    8x – x^2 = 9x – 6

    x^2 + x – 6 = 0

    (x-2)(x+3) = 0

    x = 2   (so y = 9 – 6/x so y = 9 – 6/2 =6)

    x = -3 (so y = 9-6/x so y = 9-6/-3 = 11)

  2. Gerda
    0
    2021-09-02T13:28:23+00:00
    Reply

    (0,9) and (0,8)

    I’m not so sure of my answer but wish u the best and good luck!!

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