Is the system of equations is consistent, consistent and coincident, or inconsistent? y=4x−4y=−4x+4 select the correct answer from the drop-down menu.

It is consistent as the lines are intersecting lines and it has a unique solution

Step-by-step explanation:

Since we have given two systems of equation :

We need to check whether the system of equations is consistent or inconsistent.

As we know the formula for checking the consistency :

In first equation we have

similarly,

In the second equation we have

So, According to question, we have

Hence, it is consistent as the lines are intersecting lines and it has a unique solution.

The given system of equations is consistent.

Step-by-step explanation:

The given equations are

        (1)

          (2)

Add both equations,

Put this value in 1.

Using the elimination method the solution of given equations is (1,0).

Since the system of equations has a solution, therefore the given system of equations is consistent.