SOLUTION: 1/x+1/y=5 2/x+3/y=13

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Question 1008531: 1/x+1/y=5
2/x+3/y=13
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From
1/x + 1/y = 5
2/x + 3/y = 13
double the first one and subtract it from the second and get
2/x + 3/y = 13
-(2/x + 2/y = 10)
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1/y = 3
so that y = 1/3 and then
1/x + 3 = 5
1/x = 2
x = 1/2
(1/2 , 1/3)