Question

Which equation can pair with x-y=-2 to create a consistent and dependent system?

Answer 1

See the explanation

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:

$x-y=-2$

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:

$3(x-y)=3(-2) \\ \\ 3x-3y=-6$

So a system of two linear equation that is consistent and dependent is:

$\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.$

Learn more:

Graph of lines: brainly.com/question/14434483#

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