SOLUTION: Can you show me step-by-step how to solvw this equation for m: (3)/(m^2)=(m-4)/(3m^2)+(2)/(3m^2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you show me step-by-step how to solvw this equation for m: (3)/(m^2)=(m-4)/(3m^2)+(2)/(3m^2)      Log On


   

Question 401569: Can you show me step-by-step how to solvw this equation for m: (3)/(m^2)=(m-4)/(3m^2)+(2)/(3m^2)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
for m: %283%29%2F%28m%5E2%29=%28m-4%29%2F%283m%5E2%29+%282%29%2F%283m%5E2%29
the common denominator is 3m^2, multiply by that
3m^2*%283%29%2F%28m%5E2%29= 3m^2*%28m-4%29%2F%283m%5E2%29+ 3m^2*%282%29%2F%283m%5E2%29
:
cancel the denominators and you have:
3(3) = (m-4) + 2
9 = m - 2
9 + 2 = m
m = 11
:
:
Check this in the original problem, replace m with 11:
%283%29%2F%2811%5E2%29=%2811-4%29%2F%283%2811%5E2%29%29+%282%29%2F%283%2811%5E2%29%29 = %283%29%2F%28121%29=%287%29%2F%28363%29+%282%29%2F%28363%29
%289%29%2F%28363%29 reduces to 3%2F121