Types of Solutions from Systems of Equations

Front

How can you tell if a point is a solution to a system?

Back

The (x,y) coordinates satisfy both equations.

Front

What do you call the ordered pair that satisfies all equations in the system?

Back

Solution of a system.

Front

What are the possible types of solutions for a system of equations?

Back

No Solution, Infinitely Many Solutions, One Solution.

Front

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

Back

(1, -1) is a solution to the system.

Front

What is the solution to the system of equations represented by (1, 3)?

Back

(1, 3) is a solution to the system.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations coincide, meaning they are the same line.

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the intersection point.