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Make k the subject of the relation y = (4m(k+x))/(k+2x).

Mathematics

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7. (a) (i)

  1. Make kk the subject of the relation y=4m(k+x)k+2xy = \frac{4m(k+x)}{k+2x}.

    Multiply both sides by (k+2x)(k+2x):

    y(k+2x)=4m(k+x)y(k+2x) = 4m(k+x)
  2. Expand both sides of the equation.

    yk+2xy=4mk+4mxyk + 2xy = 4mk + 4mx
  3. Gather terms containing kk on one side and terms without kk on the other side.

    yk−4mk=4mx−2xyyk - 4mk = 4mx - 2xy
  4. Factor out kk from the

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