Answer to Question #197889 in Algebra for tavlene

Question #197889

Rewriting the equation V = 2t + 1 t − 1 with t in terms of V , gives [1] t = 6 V . [2] t = V +1 V +2 . [3] t = 1−V V −2 . [4] t = V +1 V −2 . 


1
Expert's answer
2021-05-25T08:44:02-0400

Given equation is,


V=2t+1t1V=\dfrac{2t+1}{t-1}

Cross multiplying


V(t1)=2t+1VtV=2t+1Vt2t=V+1V(t-1)=2t+1\\\Rightarrow Vt-V=2t+1\\\Rightarrow Vt-2t=V+1

Taking common factor 't' outside,


t(V2)=V+1t=V+1V2\Rightarrow t(V-2)=V+1\\\Rightarrow t=\dfrac{V+1}{V-2}

So, right answer is option [4] t=V+1V2\boxed{t=\dfrac{V+1}{V-2}}


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment