what is the range of x+3y=-8 when the domain is x (>=) 0
For the equation x + 3y = -8
3y = -8 - x
y = (-8 - x) / 3
When x = 0, y = -8/3.
For any positive value of x, y will be smaller than -8/3.
So, the range of y is: y <= -8/3.