Question

Is the system of equations consistent and independent, consistent and dependent, or inconsistent?

Answer 1

Answer: 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 the first equation, we have

similarly,

In the second equation, we have

So, According to the question, we have

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