SOLUTION: I keep trying over and over again but cannot find the solution to this: (3m-2)/5 = (4-m)/3 everytime I do it i keep getting m=6.5 .

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I keep trying over and over again but cannot find the solution to this: (3m-2)/5 = (4-m)/3 everytime I do it i keep getting m=6.5 .       Log On


   

Question 105124: I keep trying over and over again but cannot find the solution to this:
(3m-2)/5 = (4-m)/3

everytime I do it i keep getting m=6.5 .

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283m-2%29%29%2F5 = %28%284-m%29%29%2F3
:
Cross multiply and you have:
3(3m-2) = 5(4-m)
:
9m - 6 = 20 - 5m; multiplied what's inside the brackets
:
9m + 5m = 20 + 6
:
14m = 26
:
m = 26/14
:
m = 13/7
:
:
Check on a calc using decimals: m = 1.857
%283%281.857%29-2%29%2F5 = %284-1.857%29%2F3
.714 = .714; confirms our solution
:
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