Question

For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, choose thebest description of its solution. If the system has exactly one solution, give its solutionSystem ASystemSystem

Answer 1

Given the graph of 3 systems

For system A:

We have two parallel lines

Which mean the lines have the same slope but a different y-intercept

so, the system is inconsistent

This means the system has no solution

For system B:

The lines have a different slope and a different y-intercept

So, the system is consistent independent

This means the system has a unique solution

The solution is the point ( -1, 2 )

For system C:

The lines have the same slope and the same y-intercept ( same line )

So, the system consistent dependent

This means the system has infinitely many solutions