In order to solve the equation for v we just have to remember one simple rule: what we do in one side of the equal "=" is what we must do on the other side.
We have that
[tex]\frac{12}{9}=\frac{v}{3}[/tex]We want to find a way to let v alone on the right side of the equation. If can multiply both sides of the equation by 3:
[tex]\begin{gathered} \frac{12}{9}=\frac{v}{3} \\ \downarrow \\ \frac{12}{9}\cdot3=\frac{v}{3}\cdot3 \\ \end{gathered}[/tex]For the right side, since 1/3 = 1:
[tex]\frac{v}{3}\cdot3=v\cdot1=v[/tex]Then:
[tex]\frac{12}{9}\cdot3=v[/tex]Since 12 · 3 = 36, then
[tex]\frac{36}{9}=v[/tex]Since 36/9 = 4, then:
[tex]4=v[/tex]Answer- v = 4
