Systems of linear equations

Front

What are systems of linear equations?

Back

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

Front

How many solutions does a system of equations with infinitely many solutions have?

Back

Infinitely Many Solutions.

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

What is the solution to the system of equations y= -1/4x + 4 and y = 2x + 2?

Back

A.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

(1, -1).

Front

What does it mean if two lines intersect at a point in a system of equations?

Back

The system has one unique solution.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines intersect at one point.

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 linear equation?

Back

An equation that makes a straight line when graphed.