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

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(22740) (Show Source): You can put this solution on YOUR website!
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
:
= -1
xy = -1(x+y)
xy = -x - y
xy + x = -y
factor out x
x(y+1) = -y
x =
Find a value for y which will give an integer value for x
The only value would be y = -2
x =
x =
x = -2
:
Evaluate 2x + 3y + x/y, when x=-2, y=-2
2(-2) + 3(-2) +
-4 - 6 + 1 = -9

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