SOLUTION: ab/5-3=3b/10+9

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Question 22904: ab/5-3=3b/10+9
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
ab%2F5-3=3b%2F10%2B9

Are you solving for for a or for b? Either way, let's clear the fraction by multiplying both sides by the LCD for the equation, which is 10.
10%2A%28ab%2F5%29-10%2A3=10%2A%283b%2F10%29%2B+10%2A9
2ab-30+=+3b+%2B+90

Add +30 to both sides:
2ab-30%2B30+=+3b+%2B+90+%2B+30
2ab+=+3b+%2B+120

Now, IF you are solving for a, you need to get rid of the 2b. Divide both sides by 2b:
%282ab%29%2F%282b%29=+%283b%2B120%29%2F%282b%29
a=+%283b%2B120%29%2F%282b%29

IF you are solving for b, you need to get all the b terms on the left side, so subtract 3b from each side:
2ab+=+3b+%2B+120
2ab+-+3b+=+120

Factor out the b, so as to get all the b's in one place:
+b%282a-3%29+=+120

Divide both sides by (2a-3):
b=+120%2F%282a-3%29+

R^2 at SCC