Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−x−1
3y=−3x+2

Consittent means they have an intersection point (at least 1 intersection point)

coincident means all points are same (same line) (infinity intersection points )

insconsisiten means they don't intersect at all (0 intersectioi points)
means they are paralell

divide last equation by 3

y=-x+(2/3)
other one is
y=-x-1
they are paralell since have same slope
differend y intercepts so inconsistine