Question

Solve 3p + 9q = 18 for q

Answer 1

`q=2-(1)/(3)p`

Step-by-step explanation:

Given the equation;

`3p+9q=18`

We want to make q the subject of formula;

firstly, let's subtract 3p from both sides;

`\begin{gathered} 3p-3p+9q=18-3p \\ 9q=18-3p \end{gathered}`

Then let us divide both sides by the coefficient of q;

`\begin{gathered} (9q)/(9)=(18-3p)/(9) \\ q=2-(1)/(3)p \end{gathered}`

Therefore, making q the subject of formula;

`q=2-(1)/(3)p`