Question

For the following pair of lines, identify the system by type.

A) consistent
B) equivalent
C) inconsistent

Answer 1

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Explanation:

Answer 2

C) inconsistent

EXPLANATION

The given system is inconsistent.

The two lines are parallel and have distinct y-intercepts.

This means that the two lines will never meet.

Since the two lines have no points of intersection, it means the system of equations they represent has no solution.

Therefore the system is inconsistent.

The correct choice is C