Solving Systems by Graphing

Front

What is the solution to a system of equations?

Back

Any ordered pair that makes both equations true.

Front

What does it mean for two equations to intersect on a graph?

Back

It means that the solution (x, y) is the point where both equations are true.

Front

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

Back

The ordered pair (1, -1) is the solution.

Front

What is the solution to the system of equations represented by the point (2, 3)?

Back

The ordered pair (2, 3) is the solution.

Front

How many solutions can a system of equations have?

Back

A system can have one solution, no solution, or infinitely many solutions.

Front

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

Back

It means that 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

It means that the equations represent the same line, so every point on the line is a solution.

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 system of equations?

Back

The graphical representation consists of lines or curves on a coordinate plane.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system, where both equations are satisfied.