Answer:
True
Step-by-step explanation:
[tex]\frac{x - y }{x + y}=-1[/tex] ---------------(I)
Cross multiply
x - y = -1*(x + y)
x - y = (-1)*x + y * (-1)
x - y = -x - y
x - y + x = - y
2x - y = -y
2x = -y + y
2x = 0
x = 0
Plugin x = 0 in (I)
[tex]\frac{0-y}{0+ y} = -1\\\\\frac{-y}{y}=-1\\\\-1 = -1[/tex]
So , true
