Question

For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent."

Answer 1

Remember!

If the lines are parallel, the system is inconsistent and has no solution

If the lines intersect in one point, the system is consistent independent and has a unique solution (the intersection point)

If the two lines are the same, the system is consistent dependent and has infinitely many solutions.

System A inconsistent - no solutions

System B consistent independent - the solution is (-1,2)

System C consisten dependent - infinitely many solutions