Question 252426: Solve this system.
2/x + 3/y = 18 , 4/x - 5/y =-8
Answer by palanisamy(496)   (Show Source):
You can put this solution on YOUR website! The given equations are,
2/x + 3/y = 18 , 4/x - 5/y =-8
Put 1/x = X and 1/y = Y
Then, we get 2X+3Y = 18 ---(1)
4X-5Y = -8 ...(2)
(1)x2=> 4X+6Y = 36 ...(3)
(2)-(3): (4X-5Y)-(4X+6Y) = -8-36
4X-5Y-4X-6Y = -44
-11Y = -44
Y = -44/(-11)
Y = 4
Substituting in (1), 2X+3x4 = 18
2X = 18-12
X = 6/2
X = 3
Therefore, we get X=3 and Y = 4
x = 1/3 and y = 1/4
This is the required solution
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