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 
:
{{{(xy)/(x+y)}}} = -1
xy = -1(x+y)
xy = -x - y
xy + x = -y
factor out x
x(y+1) = -y
x = {{{(-y)/(y+1)}}}
Find a value for y which will give an integer value for x
The only value would be y = -2
x = {{{(-(-2))/(-2+1)}}}
x = {{{2/(-1)}}}
x = -2
:
Evaluate 2x + 3y + x/y, when x=-2, y=-2
2(-2) + 3(-2) + {{{(-2)/(-2)}}}
-4 - 6 + 1 = -9