SOLUTION: 1/x + 1/y = 1/2 solve for x and y

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Question 35691: 1/x + 1/y = 1/2
solve for x and y

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
To solve for either x or y, the first step is to clear the fractions by multiplying both sides by the LCD which is





Now, to solve for x, get all the x terms on one side by subtracting 2x from each side:


Factor the x, so as to get the x's all in one place:


Divide both sides by (y-2):



NOW, to solve for y in terms of x, go back to the equation .
To solve for y, get all the y terms on one side by subtracting 2y from each side:


Factor the y, so as to get the y's all in one place:


Divide both sides by (x-2):



R^2 at SCC

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