inverse equation

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How is any equation of the form y= -x + b its own inverse?

  • inverse equation -

    write it as
    x + y = b

    now recall how you take the inverse.
    Isn't your first step simply to switch around the x and y variables?
    So what you you get ?

  • inverse equation -

    The same equation, just simply switched:

    if you have

    x+y= b, the inverse is y+x=b, which is the same thing and therefore its own inverse?

    Thank you!

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