Graphing System of Equations

Front

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

Back

The two lines are the same line.

Front

What is the solution of a system of equations if the lines are parallel?

Back

No solution.

Front

How many solutions does the system have if both equations are the same? (e.g., y=-3x+2 and y=-3x+2)

Back

Infinite Number of Solutions.

Front

What is the solution of the system of equations if the lines intersect at (6, 3)?

Back

(6, 3).

Front

How many solutions will a system of equations have if the lines are the same?

Back

Infinitely Many Solutions.

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 if two lines intersect at a single point?

Back

The system has one unique solution.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines overlap completely.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.