Consider the system: y = 3x + 5 y = ax + b What values for a and b make the system inconsistent? What values for a and b make the system consistent and dependent? Explain.
When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.
