Question

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

Answer 1

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

$y=-x-13$ ----> equation A

$y=-3x+2$ ----> 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