SOLUTION: Solve the following system (if possible) and place your answer below: 3/x - 2/y = -30 2/x - 3/y = -30

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Question 501602: Solve the following system (if possible) and place your answer below:
3/x - 2/y = -30
2/x - 3/y = -30
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Fx+-+2%2Fy+=+-30
2%2Fx+-+3%2Fy+=+-30
:
Multiply the 1st equation by 2, the 2nd equation by 3:
6%2Fx+-+4%2Fy+=+-60
6%2Fx+-+9%2Fy+=+-90
-------------subtraction eliminates x, find y
+5%2Fy+=+30
30y = 5
y = 5%2F30
y = 1%2F6
:
Find x using the 1st equation
3%2Fx - 2%2F%281%2F6%29+=+-30
3%2Fx+-+12+=+-30
3%2Fx = -30 + 12
3%2Fx = -18
-18x = 3
x = 3%2F%28-18%29
x = -1%2F6
:
:
Check solutions in the 2nd equation
2%2F%28-1%2F6%29 - 3%2F%281%2F6%29+=+-30
-12 - 18 = -30