SOLUTION: I am having trouble with a problem...I answered it, but I need to know if the answer is right. It is: 3y/5-13/15=y+2/12. I got an answer of y=31/13. Is this correct?

Algebra ->  Equations -> SOLUTION: I am having trouble with a problem...I answered it, but I need to know if the answer is right. It is: 3y/5-13/15=y+2/12. I got an answer of y=31/13. Is this correct?      Log On


   

Question 29840: I am having trouble with a problem...I answered it, but I need to know if the answer is right. It is: 3y/5-13/15=y+2/12. I got an answer of y=31/13. Is this correct?
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+3y%2F5-13%2F15=1y%2B2%2F12+ sub 3y/5 and 2/12 from both sides
+-3y%2F5+-2%2F12+=+-3y%2F5+-+2%2F12+
+-13%2F15+-+2%2F12+=+1y+-+3y%2F5+ reduce 2/12 change 1y to 5y/5
+-13%2F15+-+1%2F6+=+5y%2F5+-+3y%2F5+ Common denom on the left side is 90
+-78%2F90+-+15%2F90+=+5y%2F5+-+3y%2F5+ combine like terms
+-93%2F90+=+2y%2F5+ multiply both sides by 5/2 to isolate the y
+%28-93%2F90%29%285%2F2%29+=+%282y%2F5%29%285%2F2%29+ reduce 93/90 by dividing by 3/3
+%28-31%2F30%29%285%2F2%29+=+%282y%2F5%29%285%2F2%29+
+%28-31%29%285%29%2F%2830%29%282%29+=+y+ reduce (5)/(30)
+%28-31%29%281%29%2F%286%29%282%29+=+y+ multiply
+-31%2F12+=+y+ You were close.