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algebra trouble. help?

i need a little help with this problem. please explain how i should go about doing it

if r does not equal s and r(x+s)=sx-t, then x=?

thanksss :)

Update:

thanks guys, those seem right to me, but the answer choices are:

a) (rs+t)/(s-r)

b) (rs+t)/(s+r)

c) (s+t)/(s-r)

d) (s+t)/(s+r)

e) (s-t)/(s-r)

:/

3 Answers

Relevance
  • nkp
    Lv 5
    1 decade ago
    Favorite Answer

    r(x+s)=sx-t

    ==> rx + rs = sx - t

    ==> rx - sx = -rs - t

    ==> x(r - s) = -rs - t

    ==> x = (-rs - t)/(r - s)

  • Anonymous
    1 decade ago

    x= - rs+t/r-s the negative sign is in front of the fraction

    t= -r(s+x)+sx

    r= -sx+t/s+x the negative sign is in front of the s on the top of the equation not that it matters.

    s= - rx+t/r-x

    Source(s): Microsoft Math
  • ?
    Lv 4
    1 decade ago

    Just multiply everything out and then group the terms with "x" on one side of the eqn. Then divide out by the coefficient to get everything in terms of x. You'll get this:

    x = (-t-rs)/(r-s)

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