SOLUTION: find the value of m if e/1 = f/2 = g/3 = (5e - 6f -2g)/m

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Question 1159509: find the value of m if
e/1 = f/2 = g/3 = (5e - 6f -2g)/m
Found 3 solutions by ankor@dixie-net.com, lalitmohan, greenestamps:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find the value of m if
e%2F1+=+f%2F2+=+g%2F3+=+%28%285e+-+6f+-2g%29%29%2Fm
get e and g in terms of f
e = f%2F2
and
g%2F3+=+f%2F2
g = %283f%29%2F2
g = 1.5f
:
Substitute for e and g in %28%285e+-+6f+-2g%29%29%2Fm
%28%285%28f%2F2%29-6f-2%281.5f%29%29%29%2Fm
:
%28%282.5f-6g-3f%29%29%2Fm
now we have
f%2F2+=+%28-6.5f%29%2Fm
cross multiply
fm = 2(-6.5f)
fm = -13f
divide both sides by f
m = -13

Answer by lalitmohan(2) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given condition

e%2F1+=+f%2F2+=+g%2F3

is satisfied by letting e=x, f=2x, and g=3x; each expression is then equal to x. So then we want the expression

%285e-6f-2g%29%2Fm

to be equal to x also.

%285%28x%29-6%282x%29-2%283x%29%29%2Fm+=+x
-13x%2Fm+=+x
m+=+-13