Question

Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.

a. The slopes of the two equations in the system are the same but their y-intercepts are different.

b. The system is an independent system.

c. The graphs of the two equations would intersect at the point (0,3).

Answer 1

• a. The slopes of the two equations in the system are the same but their y-intercepts are different.

Explanation:

The system resulting in equation 0=3 means:

• There is no solution
• The lines are parallel as no intersection

Correct choice is:

• a. The slopes of the two equations in the system are the same but their y-intercepts are different.