Solve the following for s: K= 3r-4s/2st

Question

Answers to choose from:

 

1. 3r/2Kt+4
2. 3r-4/2Kt
3. 3r-2Kt/4
4. 3r-2Kt-4

Answer 1

• K= 3r-4s/2st
• In order to solve for "s," it must be isolated, i.e., the equation must be manipulated so that "s" appears only once
• Multiply both sides of the equation by "2st"
• The resulting equation is 2sKt = 3r - 4s
• Ensure that all s's only appear on one side of the equation; this can be accomplished by adding "4s" to both sides of the equation
• The resulting equation is 2sKt + 4s = 3r
• The variable "s" appears in both terms of the left-hand side of the equation; in order for us to solve for "s," it can only appear in one term
• As "s" appears in both terms on the left-hand side of the equation, it may be factored out
• The result is s(2Kt + 4) = 3r
• Upon dividing both sides of the equation by (2Kt + 4), we obtain our desired answer
• s = 3r/2Kt + 4
• This corresponds to answer choice A