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Is the system of equations is consistent, consistent and coincident, or inconsistent?

y=−x−13y=−3x+2



Select the correct answer from the drop-down menu.



Graph of two lines on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1.

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Answer:

Is a consistent independent system

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

In this problem we have

[tex]y=-x-13[/tex] ----> equation A

[tex]y=-3x+2[/tex] ----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

The solution is the point (7.5,-20.5)

see the attached figure

therefore

Is a consistent independent system

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