Algebra Problem Help?

Question

Ok I need a refresher. When you go to solve an equation such as x+xy+y=0, how would we simplify the xy part of the equation and make the equation to where it is equal to y (y=???????).

This is how I thought to solve it,

> y= -x-xy

But I got lost.

Please Help

Answer 1

x + xy + y = 0

xy + y = - x

y(x + 1) = - x

y = - x/(x + 1)

Answer: y = - x/(x + 1)

Checking:

x + xy = - y

x + x(- x/[x + 1]) = - (- x/[x + 1])

x - (x²/[x + 1]) = x/(x + 1)

(x² - x² + x)/(x + 1) = x/(x + 1)

x/(x + 1) = x/(x + 1)

Answer 2

MA is right

Answer 3

start by this

x+xy+y = 0

move the x term to the other side

xy+y=-x

factor out a y

and you have

y(x+1)=-x

divide by (x+1)

y=-x/(x+1)

hope this helps

Answer 4

x+xy+y=0

xy+y=x

y(x)=x

y/x=x/x

y=1

Answer 5

baechbayb is right.