SOLUTION: please help me solve this problem: T=3vs-4ws+5vw solve for V please I got v= t+4ws/8sw

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Question 211195This question is from textbook
: please help me solve this problem:
T=3vs-4ws+5vw solve for V please I got v= t+4ws/8sw This question is from textbook

Found 2 solutions by jim_thompson5910, drj:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
T=3vs-4ws%2B5vw


T%2B4ws=3vs%2B5vw Add 4ws to both sides.


T%2B4ws=v%283s%2B5w%29 Factor out the GCF 'v' on the right side


%28T%2B4ws%29%2F%283s%2B5w%29=v Divide both sides by 3s%2B5w to isolate 'v'.


v=%28T%2B4ws%29%2F%283s%2B5w%29 Rearrange the equation.


So the solution is v=%28T%2B4ws%29%2F%283s%2B5w%29


Note: you made a mistake in thinking that you can combine 3s and 5w to get 8sw....the terms 3s and 5w are NOT like terms, so they CANNOT be combined.

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
T=3vs-4ws+5vw solve for V please I got v= t+4ws/8sw
Step 1: Given: T=3vs-4ws+5vw
Step 2: Group terms containing v on right side of equation and other terms not containing v on left side. Here's how it works:
Step 2a. Add 4ws to both sides of equation: T+4ws=3vs-4ws+4ws+5vw. Note on right side of equation: -4ws+4ws=0 to simplify on next step
Step 2b. Simplify right side: T+4ws=3vs+5vw Again note we used: -4ws+4ws=0
Step 3. Now Solve for v by factoring and divide. Here's how it works:
Step 3a. Factor out v on right side: T+4ws=v(3s+5w)
Step 3b. You want to isolate v by itself. Now divide (3s+5w)in both sides of equations: (T+4ws)/(3s+5w)=v(3s+5w)/(3s+5w). Note: On right side (3s+4w)/(3s+5w)=1. So we can simplify in final step.
Step 3c. (T+4ws)/(3s+5w)=v
Step 4. We can rewrite final answer as v=(T+4ws)/(3s+5w)