SOLUTION: Let x and y be integers. If (xy)/(x+y) = -1, what is the value of 2x + 3y + x/y to the nearest integer? choose the answer and explain the reason to choose your response 4 11

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Question 478652: Let x and y be integers. If (xy)/(x+y) = -1, what is the value of 2x + 3y + x/y to the nearest integer? choose the answer and explain the reason to choose your response
4
11
-9
Not enough information
Answer by ankor@dixie-net.com(15667) About Me  (Show Source):
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Let x and y be integers. If (xy)/(x+y) = -1, what is the value of 2x + 3y + x/y to the nearest integer? choose the answer and explain the reason to choose your response
:
%28xy%29%2F%28x%2By%29 = -1
xy = -1(x+y)
xy = -x - y
xy + x = -y
factor out x
x(y+1) = -y
x = %28-y%29%2F%28y%2B1%29
Find a value for y which will give an integer value for x
The only value would be y = -2
x = %28-%28-2%29%29%2F%28-2%2B1%29
x = 2%2F%28-1%29
x = -2
:
Evaluate 2x + 3y + x/y, when x=-2, y=-2
2(-2) + 3(-2) + %28-2%29%2F%28-2%29
-4 - 6 + 1 = -9