SOLUTION: How would I solve this using elimination: 1/x + 3/y = 3/4 3/x - 2/y = 5/12

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Question 663011: How would I solve this using elimination:
1/x + 3/y = 3/4
3/x - 2/y = 5/12
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1%2Fx+%2B+3%2Fy+=+3%2F4
3%2Fx+-+2%2Fy+=+5%2F12
____________________________
%28y+%2B+3x%29xy=+%283%2F4%29
%283y+-+2x%29xy+=+%285%2F12%29
________________________________
y+%2B+3x=+%283%2F4%29xy.....both sides multiply by 4
3y+-+2x+=+%285%2F12%29xy....both sides multiply by 4
______________________________..
4y+%2B+12x=+3xy........both sides multiply by 2
36y+-+24x+=+5xy
_________________________
8y+%2B+24x=+6xy
36y+-+24x+=+5xy
_________________________ add
8y+-36y%2B+24x-+24x=+6xy-5xy
-24y=xy
-24cross%28y%29=xcross%28y%29
highlight%28-24=x%29
1%2F-24+%2B+3%2Fy+=+3%2F4
3%2Fy+=+3%2F4%2B1%2F24

3%2Fy+=+18%2F24%2B1%2F24+
3%2Fy+=+19%2F24

3%2A24+=+19y+
72%2F19+=+y
highlight%283.79+=+y%29+
check:
1%2Fx+%2B+3%2Fy+=+3%2F4
1%2F-24+%2B+3%2F3.79+=+3%2F4
-0.04%2B0.79=0.75
0.75=0.75