Systems of Equations Graphing

Front

What is a system of equations?

Back

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

Front

What does it mean to graph a system of equations?

Back

It means to plot the equations on a coordinate plane to find their intersection point.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.

Front

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

Back

No solution, one solution, or infinitely many solutions.

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 one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines coincide, meaning they are the same line.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the two lines intersect on the graph.

Front

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

Back

It represents the values of the variables that satisfy all equations in the system.

Front

If two lines intersect at (1, 3), what is the solution to the system of equations?

Back

(1, 3)