Question: Explain what happens when a system of two linear equations is inconsistent. What effect does it have in obtaining a solution? What would the graph

Explain what happens when a system of two linear equations is inconsistent. What effect does it have in obtaining a solution? What would the graph of such a system look like?

Choose the correct answer below.

a. When a system of two linear equations is inconsistent, there is no solution. This means that there is no point (x,y) that satisfies both equations. The graph of such a system yields two parallel lines.

b. When a system of two linear equations is inconsistent, there is no solution. This means that there is no point (x,y) that satisfies both equations. The graph of such a system yields two perpendicular lines.

c. When a system of two linear equations is inconsistent, there are infinitely many solutions. This means that every point (x,y) satisfies both equations. The graph of such a system yields two identical lines.

d. When a system of two linear equations is inconsistent, there is no solution. This means that there is no point (x,y) that satisfies both equations. The graph of such a system yields two identical lines.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!