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.

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

----> equation A

----> 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

b

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)