Posted by **algebra** on Wednesday, March 21, 2012 at 12:26pm.

Explain how you can determine from the graph of a system of two linear equations in two variables whether it is an inconsistent system of equations.

- algebra -
**MathMate**, Wednesday, March 21, 2012 at 4:39pm
3 possible cases:

1. one unique solution

the two graphs intersect at a single point, which also means that the slopes of the two lines are different.

2. no solution

The two lines are parallel and distinct, so there is no intersection in the Euclidean plane.

3. Infinite number of solutions

The two lines are parallel and coincident. Thus any point on the line(s) is a solution to the system of two equations.

## Answer This Question

## Related Questions

- algebra - Can someone please help. Explain how you can determine from the graph ...
- algebra - I need help. Can someone help me please. Explain how you can determine...
- Algebra - Explain how you can determine from the graph of a system of two linear...
- Math - PreCalc (12th Grade) - Which statement is true for any linear system of ...
- Algebra question - When you solve a system of equations by the substitution ...
- Math - Explain how you can determine whether a system of two linear equations ...
- algebra - Can someone please help. When you solve a system of equations by the ...
- algebra - Can someone help me figure this out please? when you solve a system of...
- algebra - When you solve a system of equations by the substitution method, how ...
- Math 116 - Consider the following system of equations. y=2x-2 y-2x=9 What can ...

More Related Questions