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Math Help - rewrite equation

  1. #1
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    rewrite equation

    ok i have this y = 1 / (x - 1)

    answer is

    x = 1 / y + 1 / 1

    can someone explain in steps?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by perpetual View Post
    ok i have this y = 1 / (x - 1)

    answer is

    x = 1 / y + 1 / 1

    can someone explain in steps?
    There are many ways to solve for x in something like this. (writing 1/1 is unnecessary AND unaesthetic)

    One method:

    y = \frac {1}{x - 1} ..................multiply both sides by x - 1

    \Rightarrow (x - 1)y = 1 ..........now divide both sides by y

    \Rightarrow x - 1 = \frac {1}{y} ..............now add 1 to both sides

    \Rightarrow x = \frac {1}{y} + 1
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  3. #3
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    lol yes i know im sorry it wasnt 1 / 1 its x = (1/(y) + 1) / 1
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by perpetual View Post
    lol yes i know im sorry it wasnt 1 / 1 its x = (1/(y) + 1) / 1
    that makes no difference, and is perhaps even more unaesthetic

    anything divided by 1 is itself, so having the whole right side over 1 is useless
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  5. #5
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    ..........now divide both sides by
    ok guess at this point i dont understan why u dont distribute the y to(x-1)?
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by perpetual View Post
    ..........now divide both sides by
    ok guess at this point i dont understan why u dont distribute the y to(x-1)?
    that would be mixing x and y wouldn't it? our objective is to solve for x, thus we want to get x by itself on one side. distributing the y does not accomplish that
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  7. #7
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    thanks for that and sorry about that extra post
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