SOLUTION: Solve For M 1/T - 1/M = 1/R

Algebra ->  Expressions-with-variables -> SOLUTION: Solve For M 1/T - 1/M = 1/R      Log On


   

Question 1193092: Solve For M
1/T - 1/M = 1/R
Found 2 solutions by math_helper, Alan3354:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!



1/T - 1/M = 1/R



Add 1/M to both sides, subtract 1/R from both sides:

1/T - 1/R = 1/M



Take reciprocal of both sides:

1/(1/T - 1/R) = M



Re-writing with M on LHS:









------



Just in case the student is wondering, the other tutor's answer is just a different form for the one I provided:  



  +RT+%2F+%28R-T%29+  = ++%28%28RT+%2F+RT%29%29+%2F+%28%28%28R-T%29%2F%28RT%29%29%29+ = +1+%2F+%281%2FT-1%2FR%29+



Also note the implied restrictions: T%3C%3E0, R%3C%3E0, +T%3C%3ER

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1/T - 1/M = 1/R
1/M = 1/T - 1/R = (R-T)/RT
M = RT/(R-T)