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Calculus Grade 12

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determine the coordinates of two points on the plane with equation 5x + 4y - 3z = 6

  • Calculus Grade 12 -

    pick any values for two of the variables, and calculate the third coordinate.

    z = (6-5x-4y)/-3
    so, if x=1 and y=10, z=13 and (1,10,13) is on the plane.

    using similar expressions for x and y, you can pick points using x,z or y,z.

  • Calculus Grade 12 -

    y = 6, z = 6

    5x + 4(6) - 3(6) = 6
    5x + 24 - 18 = 6
    5x = 0
    x = 0
    so (0,6,6) is a point on the plane.

    is this correct??

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