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

ACCESS MORE
EDU ACCESS