Question

The system shown is _____.

equivalent

independent

inconsistent

Answer 1

Answer: First option is correct.

Explanation:

Since we have shown a figure, in which we can see that one line coincides with the another line.

As we know the rule of consistency, if two lines are coincidence, then they have infinitely many solution.

Because one line lie on the other line.

So, it becomes equivalent, consistent and dependence.

So, the system shown is equivalent.

Hence, First option is correct.

Answer 2

we know that
If a system has at least one solution, it is said to be consistent.
When you graph the equations, both equations represent the same line
so
the system has an infinite number of solutions

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

therefore
the system is consistent, dependent and equivalent

the answer is
equivalent