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Math Help - Transposing question

  1. #1
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    Smile Transposing question

    (New here, hope I'm posting in the right forum...)

    Hello! I am working on a set of 30 problems to do with transposing equations. I have been doing well up until now, but I have hit this at question 28:

    y = (a + x) / (5 - bx) rearranged for x

    I know that the answer should be:

    x = (5y - a) / (1 + by)

    My working so far is:

    y(5 - bx) = a + x

    5y - ybx = a + x

    ...and now I get stuck. I can't seem to isolate x. I see that both the question and answer are equal but I don't see how they got there (also confused where the constant "1" came from). Any help with this would be greatly appreciated!
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  2. #2
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    pickslides's Avatar
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    Re: Transposing question

    Looks good so far

    5y - ybx = a + x

    Now put the x's on the same side.

    5y   -a=  x+ybx

    Factor out x.

    5y   -a=  x(1+yb)

    Finish him off.
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  3. #3
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    Re: Transposing question

    Ah thank you very much. My knowledge of factoring was lacking and I didn't see I could do it there. Sorted!
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