i need some help solving this

Question

anonymous · Answer

\[Solve P = 1/6(r + 5t) for r.

anonymous · Answer

You need to isolate for r be applying inverse operations (reverse PEDMAS) to both sides
-multiply by 6
- subtract 5t

anonymous · Answer

but is 1/6 not just 6

anonymous · Answer

multiply by 6 can get rid of the 1/6  
1/6 x 6 = 1

anonymous · Answer

Yep.  So think of that as the stuff inside the brackets being divided by 6.  This is because dividing by 6 and multiplying by 1/6 is the same thing.  In fact this is probably how you learned to do fraction division.  Either way, when you multiply 1/6 by 6/1 you get 6/6 which is just 1.

directrix · Answer

Should P = 1/6(r + 5t) be P = 1/ [6(r + 5t)]? Grouping symbols are helpful and sometimes critical to a problem solution.

anonymous · Answer

if it had of been multiplied by 5/7, we would have multiplied it by 7/5 (its inverse), which results in 1

anonymous · Answer

ok so im confused on what to do. can someone show me  step by step ?

anonymous · Answer

$$P=1/6(r+5t)$$multiply by 6
$$6P=(r+5t)$$
Subtract 5t
$$6P-5t=r+5t-5t$$
$$6P-5t=r$$

anonymous · Answer

iif you multiply by 6 wouldnt there be a 35t?

directrix · Answer

P = (1/6) (r + 5t)
6 times P = 6 times (1/6) times (r + 5t)
6P = [6 times (1/6]) times (r + 5t)
6P = one times (r + 5t)
6P = r + 5t

You are thinking about the Distributive Property which does not apply in this solution. Multiply one term of the right side by 6; otherwise, you are multiplying it by 36.