Question

Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−x−1 3y=−3x+2 Select the correct answer from the drop-down menu.
A. consistent
B. consistent and coincident
C. inconsistent

Answer 1

B. consistent and coincident

Answer 2

Answer:

C. inconsistent

Step-by-step explanation:

This problem can be solved just by seeing the graph. When we have a system of equation, they tend to have a solution, this solution, graphically is a common point showed as an interception of both lines.

In this case, both lines don't intercept, they are parallel, this means that the given system doesn't have any solution. Therefore, this is called an inconsistent system of equations.

On the other hand, consistent means that the system has at least one solution. And coincident means that both lines have all points in common, one is on the other, so it has infinite solutions.

Therefore, in this case, the correct answer is C.