Make r subject of formula in the equation: t=3p/r+s
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.
To make r the subject of the formula in the equation t = 3p/r + s, we need to isolate r on one side of the equation. Here's how:
Step 1: Start with the equation t = 3p/r + s.
Step 2: Subtract s from both sides of the equation to isolate the term involving r:
t - s = 3p/r
Step 3: Multiply both sides by r to eliminate the denominator on the right side of the equation:
r(t - s) = 3p
Step 4: Distribute the r to the terms inside the parentheses:
rt - rs = 3p
Step 5: Move the -rs term to the other side of the equation by adding rs to both sides:
rt = 3p + rs
Step 6: Finally, divide both sides of the equation by t to solve for r:
r = (3p + rs)/t
Thus, r is the subject of the formula in the given equation: r = (3p + rs)/t.