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Multiply both sides by d(m+p) to eliminate the denominator.

Mathematics

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Answer

m=hdpt−hdm = \frac{hdp}{t - hd}

Step-by-step solution

5 steps

here's how to solve (a):

  1. Multiply both sides by d(m+p)d(m+p) to eliminate the denominator.

    h=mtd(m+p)h = \frac{mt}{d(m+p)} hd(m+p)=mthd(m+p) = mt

  2. Expand the left side of the equation.

    hdm+hdp=mthdm + hdp = mt

  3. Gather all terms containing mm on one side of the equation.

    hdp=mt−hdmhdp = mt - hdm

  4. Factor out mm from the terms on the right side.

    hdp=m(t−hd)hdp = m(t - hd)

  5. Divide both sides by (t−hd)(t - hd) to make mm the subject.

    m=hdpt−hdm = \frac{hdp}{t - hd}
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