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Math Help - solution set for y = 2x - 5

  1. #1
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    solution set for y = 2x - 5

    What would ALL possible solutions be for the equation y = 2x - 5

    x
    -5
    -4
    -3
    -2
    -1
    0
    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    y
    0
    1
    2
    3
    4
    5
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    x
    -6
    -7
    -8
    -9
    -10
    -11
    -12
    -13
    -14
    -15

    y
    -1
    -2
    -3
    -4
    -5
    -6
    -7
    -8
    -9
    -10
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  2. #2
    -1
    e^(i*pi)'s Avatar
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    There are infinite solutions since the domain is all the real numbers. For example (\pi , 2\pi -5)
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  3. #3
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    Quote Originally Posted by hansfordmc View Post
    What would ALL possible solutions be for the equation y = 2x - 5

    [snip]
    All possible solutions are given by the coordinates of all points that lie on the line y = 2x - 5.

    Alternatively, the solution is x = t and y = 2t - 5 where t is any real number.
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  4. #4
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    Thanks people. So, no real number would be excluded from the solution set.
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  5. #5
    Super Member TheChaz's Avatar
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    The solutions are not numbers; they are ordered pairs.
    So every real number shows up as the first coordinate and as the second coordinate (but never at the same time in this example!)
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