Question

Rearranging formulas solving for G Q=p/1-G

Answer 1

`Q=(p)/(1-G)`

We want to find a formula for G.

First step: multiply both sides by (1-G)

`\begin{gathered} (1-G)Q=(1-G)(p)/(1-G) \\ (1-G)Q=p \end{gathered}`

Second step: divide both sides by Q

`\begin{gathered} ((1-G)Q)/(Q)=(p)/(Q) \\ 1-G=(p)/(Q) \end{gathered}`

Third step: subtract 1 from both sides

`\begin{gathered} 1-G-1=(p)/(Q)-1 \\ -G=(p)/(Q)-1 \end{gathered}`

Final step: multiply both sides by -1

`\begin{gathered} (-1)\cdot(-G)=(-1)\cdot((p)/(Q)-1) \\ G=1-(p)/(Q) \end{gathered}`