Introduction to Systems

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What is the number of solutions to a system of equations that has infinitely many solutions?

Back

Infinitely Many Solutions.

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

Intersecting lines.

Front

How many solutions does a system of equations with one solution have?

Back

One.

Front

How many solutions does a system of perpendicular lines have?

Back

One.

Front

What is a system of equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no points in common, hence no solution.

Front

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

Back

The same line represented multiple times.

Front

What is the solution to a system of equations represented by intersecting lines?

Back

The point where the two lines cross.

Front

What is the significance of the slope in a system of linear equations?

Back

It determines the angle of the line and can indicate whether lines are parallel or intersecting.