SOLUTION: solve by first eliminating the fractions 1/2q-6=1/5q

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Question 83424: solve by first eliminating the fractions
1/2q-6=1/5q
Found 2 solutions by rapaljer, uma:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%282q-6%29=1%2F%285q%29

Because a%2Fb=c%2Fd means ad=bc, it follows that
1%2F%282q-6%29=1%2F%285q%29 means that 1%2A5q+=+1%2A%282q-6%29+
5q=+2q-6
5q-2q+=+2q-2q-6
3q=-6
%283q%29%2F3=%28-6%29%2F3
q+=+-2

R^2 at SCC

Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
1/2q-6=1/5q
= (1/2)q - 6 = (1/5)q
Multiplying by 10 (LCD of 2 and 5) throughout,
5q - 60 = 2q
==> 5q - 60 - 2q = 0
==> 3q - 60 = 0
==> 3q = 60
==> q = 60/3
==> q = 20