One Solution, No Solution, Many Solutions

Front

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

Back

The lines represented by the equations are parallel and do not intersect.

Front

What does it mean if a system of linear equations has one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

What does it mean if a system of linear equations has infinite solutions?

Back

The lines represented by the equations are the same line, meaning they overlap completely.

Front

Given the equations y=5x+3 and y=5x-2, how many solutions does this system have?

Back

No Solution, because the lines are parallel.

Front

What is the graphical representation of a system with one solution?

Back

Two intersecting lines on a graph.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines on a graph.

Front

What is the graphical representation of a system with infinite solutions?

Back

One line that overlaps itself, or two identical lines.

Front

How can you determine if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.

Front

What is the slope of the line represented by the equation y=5x+3?

Back

5.

Front

What is the slope of the line represented by the equation y=5x-2?

Back

5.