SOLUTION: Can someone please help me solve this problem? q+9/2 + q-3/3=6 Thank you.

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Question 127409: Can someone please help me solve this problem?
q+9/2 + q-3/3=6
Thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28q%2B9%29%29%2F2 + %28%28q-3%29%29%2F3 = 6
We can get rid of the denominators by multiplying the equation by 6:
6*%28%28q%2B9%29%29%2F2 + 6*%28%28q-3%29%29%2F3 = 6(6)
Cancel out the denominators and you have:
3(q+9) + 2(q-3) = 36
:
3q + 27 + 2q - 6 = 36
:
5q + 21 = 36
:
5q = 36 - 21
:
5q = 15
q = 15%2F5
q = 3
:
:
Check in original equation, substitute 3 for q:
%28%283%2B9%29%29%2F2 + %28%283-3%29%29%2F3 = 6
12%2F2 + 0 = 6; confirms our solution