Final answer:
To solve the equation 2/R + 5/S = 5/T for R in terms of S and T, multiply both sides of the equation by R and then rearrange the terms.
Step-by-step explanation:
To solve the equation 2/R + 5/S = 5/T for R in terms of S and T, we can start by isolating R. We can do this by multiplying both sides of the equation by R and then rearranging the terms:
2/R + 5/S = 5/T
2 + 5R/S = 5R/T
Next, we can multiply both sides of the equation by S to eliminate the fraction:
S(2 + 5R/S) = S(5R/T)
Simplifying the equation gives:
2S + 5R = 5RS/T
Finally, we can rearrange the terms to solve for R:
5R = 5RS/T - 2S
R = (5RS/T - 2S)/5