Make r subject of formula in the equation: t=3p/r+s

3 answers

To make r the subject of the formula in the equation t=3p/r+s, we can start by isolating the variable r.

First, subtract s from both sides of the equation:
t - s = 3p/r

Next, multiply both sides of the equation by r to eliminate the fraction:
r(t - s) = 3p

Finally, divide both sides of the equation by (t - s) to solve for r:
r = 3p / (t - s)

Therefore, r is equal to (3p / (t - s)).
t=3p/r+s
Unless you mean
t=3p/ (r+s )
In which case
(r+s) t = 3 p
r t + s t = 3 p
r t = 3 p - s t
r = 3 p/t - s
Apologies for the confusion. Assuming the correct interpretation of the equation as t=3p/(r+s), to make r the subject of the formula, we can follow the steps below:

1. Multiply both sides of the equation by (r + s):
(t)(r + s) = 3p

2. Expand the left side of the equation:
tr + ts = 3p

3. Subtract ts from both sides of the equation:
tr = 3p - ts

4. Divide both sides of the equation by t to solve for r:
r = (3p - ts)/t

Therefore, r is equal to (3p - ts)/t.
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