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Changing the subject of a formula — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSChanging the subject of a formula3 Marks
Question
Make $A$ the subject of formula $R=\frac{m_1 B+m_2 A}{m_1+m_2}$
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Answer

$R=\frac{m_1 B+m_2 A}{m_1+m_2}$
$ \Rightarrow R\left(m_1+m_2\right)=m_1 B+m_2 A$.
$\Rightarrow R\left(m_1+m_2\right)-m_1 B=m_2 A$
$ \Rightarrow \frac{R\left(m_1+m_2\right)-m_1 B}{m_2}=A .$

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