Solving Systems by Graphing

Front

What happens when you graph the same linear equation twice?

Back

You will have infinite solutions.

Front

What does it mean if a system of linear equations has no solution?

Back

The lines are parallel and never intersect.

Front

If two lines never intersect, how many solutions does the system have?

Back

No Solution.

Front

How many solutions does a system have if the lines intersect at one point?

Back

One Solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines coincide (are the same line).

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean for a system to be consistent?

Back

It has at least one solution.

Front

What does it mean for a system to be inconsistent?

Back

It has no solutions.

Front

What is the point of intersection of two lines?

Back

The solution to the system of equations represented by those lines.

Front

How can you determine if a system has no solution by graphing?

Back

If the lines are parallel and do not intersect.