Systems of Equations by Graphing

Front

What is the term for the ordered pair that satisfies both equations in a system?

Back

solution

Front

What is the solution to the system of equations represented in the tables?

Back

(4, -4)

Front

How do you find the solution to a system of equations by analyzing a graph?

Back

The solution is the intersection point(s) of the graphs of the equations.

Front

What is the solution to the system of equations y = 1/2x + 2 and y = -3x + 9?

Back

(2, 3)

Front

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

Back

(1, 3)

Front

What does it mean for two lines to be parallel in the context of systems of equations?

Back

Parallel lines have no points of intersection, meaning there is no solution to the system.

Front

What does it mean for two lines to be coincident in the context of systems of equations?

Back

Coincident lines are the same line, meaning there are infinitely many solutions to the system.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of the lines corresponding to each equation plotted on a coordinate plane.

Front

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

Back

The intersection point represents the solution to the system of equations.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.