Question

Please help!! I don't get it!!

Answer 1

Find the line for each given equation in the problem.

If they cross each other  ( at least one solution) it is consistent.

If they do not cross each other at all, it is inconsistent.

If a consistent system has only one answer it would be independent.

If a consistent system has infinite solutions ( this would be just a straight line) it would be dependent.

If there are no solutions, it is neither dependent or independent.

1. Both lines cross each other in one place, so this is consistent and independent.

2. Both lines cross each other in one place, so this is consistent and independent.

3. The two lines do not cross each other, so this is inconsistent.

There are no solutions, so this is neither dependent or independent.

4. Both lines cross each other in one place, so this is consistent and independent.