See the explanation
A system that has one or infinitely many solutions is called consistent. If an equation in a system tells us no new information then the equations of the system are dependent. In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:
The given line is:
[tex]x-y=-2[/tex]
If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:
[tex]3(x-y)=3(-2) \\ \\ 3x-3y=-6[/tex]
So a system of two linear equation that is consistent and dependent is:
[tex]\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.[/tex]
Graph of lines: https://brainly.com/question/14434483#
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