Respuesta :
[tex]\dfrac{2}{3}t+v=r\ \ \ |subtract\ v\ from\ both\ sides\\\\\dfrac{2}{3}t=r-v\ \ \ \ |multiply\ both\ sides\ by\ \dfrac{3}{2}\\\\\boxed{t=\frac{3}{2}(r-v)}[/tex]
After solving the given equation for 't' we get
[tex]t= \frac{3r-3v}{2}[/tex]
Given :
The given equation is
[tex]r=\frac{2}{3} t+v[/tex]
We need to solve for t.
Our aim is to isolate the variable 't' from the given equation
[tex]r=\frac{2}{3} t+v[/tex]
First subtract 'v' from both sides
[tex]r-v=\frac{2}{3} t[/tex]
Now remove the denominator 3 by multiplying 3 from both sides
[tex]3(r-v)=2t\\3r-3v=2t[/tex]
Now to isolate 't' , divide both sides by 2
[tex]\frac{3r-3v}{2} =t\\t= \frac{3r-3v}{2}[/tex]
We isolated 't'. It means we solved for t
Learn more : brainly.com/question/11085492