Question

Classifying systems of linear equations from graphsFor 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 solution.System ASystem B System C

Answer 1

Consistent dependant system- System B: It has infinite number of solutions, in this case, the graphs of the lines are the same.

Consistent independent system- System C: It has exactly one solution. In this case, both lines cross each other at exactly one point.

Solution : (-2,-2)

Inconsistent: System A.

When a system has no solution, lines never cross each other.